Quiz about Gcf and Lcm Review

Question 1

Which set lists all the factors of 24?

Accepted Answer

1, 2, 3, 4, 6, 8, 12, 24

Answer

1, 2, 3, 6, 7, 12, 24

Answer

1, 2, 3, 4, 5, 6, 8, 12, 24

Answer

1, 3, 4, 6, 8, 24

Question 2

Use a number tree to find the prime factorization of 48

Accepted Answer

3x24

Answer

4x2x6

Answer

4x22x3

Answer

12x4

Question 3

What are the prime factors of 30?

Accepted Answer

3, 2, 5

Answer

1, 2, 3, 5, 6, 15, 30

Answer

3, 30

Answer

10, 3

Question 4

Sara had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?

Accepted Answer

8

Answer

4

Answer

2

Answer

48

Question 5

What is the greatest common Factor between 28 and 35?

Accepted Answer

7

Answer

1

Answer

14

Answer

5

Question 6

Find the Greatest Common Factor (GCF) OF 12,  18 & 30

Accepted Answer

6

Answer

1

Answer

3

Answer

12

Question 7

Find the Greatest Common Factor (GCF) of 60 and 75

Accepted Answer

15

Answer

1

Answer

3

Answer

5

Question 8

Karen has 30 photos from a trip to Dallas and 48 photos from a trip to Austin. She wants to put all the photos in an album so that the photos from each trip are in separate sections. What is the greatest number of photos she can put on each page?

Accepted Answer

6 photos

Answer

18 photos

Answer

240 photos

Question 9

Buses from 2 different bus routes each stop at the same corner at 9 a.m. One stops every 9 minutes, and the other stops every 12 minutes. What is the fewest number of minutes that will pass until the next time buses from both routes are there at the same time?

Accepted Answer

9:36

Answer

9:03

Answer

9:12

Question 10

Morgan and her little brother receive stickers for doing their assignments at home each week. Morgan has 14 assignments due each week and her brother, Willie, has 8 assignments due. What is the lowest number of stickers each sibling will have?

Accepted Answer

56

Answer

16

Answer

2

Question 11

In Science class, Mrs. Rollins told her class that the planets revolve around the Sun at different times. It takes Jupiter 12 "Earth years" , and Saturn takes 30 "Earth years". How often will Jupiter and Saturn align? (LCM)

Accepted Answer

60

Answer

24

Answer

360

Question 12

At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items?

Accepted Answer

150th customer

Answer

16th customer

Answer

300th customer

Answer

180th customer

Question 13

Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. How many PEARS will be in the greatest number of fruit baskets?

Accepted Answer

9

Answer

7

Answer

8

Answer

10

Question 14

Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. How many baskets can you make with the most fruit in them?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 15

Jenny goes to dance class every 6 days, karate class every 12 days, and to the library every 18 days. On December 1st she went to both classes and the library. On what date will she do both classes and go to the library?

Accepted Answer

36 days

Answer

24 days

Answer

42 days

Answer

52 days

Question 16

Farida is making activity baskets to donate to charity. She has 100 coloring books and 360 crayons. What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets? How many coloring books and crayons each basket contain?

Accepted Answer

The greatest number of baskets she can make is 20, each basket contains 5 coloring books and 18 crayons

Answer

20, 5, 18

Answer

The greatest number of baskets she can make is 1800, each basket contains 50 coloring books and 180 crayons

Answer

1800, 50, 180

Question 17

Find the GCF of 451 and 501

Accepted Answer

1

Answer

14

Answer

45

Answer

11

Question 18

Bella is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white balloons, and 16 orange balloons. She wants each arrangement to have the same number of each color. What is the greatest number of arrangements that she can make if every balloon is used?

Accepted Answer

The greatest number of arrangements that she can make is 8

Answer

The greatest number of arrangements that she can make is 18

Answer

The greatest number of arrangements that she can make is 48

Answer

The greatest number of arrangements that she can make is 128

Question 19

Two neon signs are turned on at the same time. Both signs blink as they are turned on. One sign blinks every 9 seconds. The other sign blinks every 15 seconds. In how many seconds will they blink together again?

Accepted Answer

The signs will blink together again every 45 seconds

Answer

The signs will blink together again every 35 seconds

Answer

The signs will blink together again every 25 seconds

Answer

The signs will blink together again every 15 seconds

Question 20

The pet shop is putting together goody bags to send to different shelters. They have 36 chew toys, 24 dog bones and 18 chase toys for cats. What is the maximum number of goody bags will they be able to make to send to shelters?

Accepted Answer

The maximum number of goody bags they will be able to make to send to shelters are 6

Answer

The maximum number of goody bags they will be able to make to send to shelters are 8

Answer

The maximum number of goody bags they will be able to make to send to shelters are 12

Answer

The maximum number of goody bags they will be able to make to send to shelters are 4

Question 21

Hala's mom is buying burgers and Burgers buns for the family barbecue. Burgers come in packs of 30 and Burger buns come in packs of 18. The store does not sell parts of a pack and Hala's mom wants the same number of Burgers as Burger buns. What is the smallest total number of Burgers that Hala's mom can purchase?

Accepted Answer

90

Answer

6

Answer

96

Answer

69

Question 22

Find the LCM and GCF of 120, 240, 360

Accepted Answer

LCM= 720, GCF= 120

Answer

LCM= 120, GCF= 720

Answer

LCM= 72, GCF= 12

Answer

LCM= 220, GCF= 120

Question 23

Find the LCM and GCF of 36, 44, 64, 24

Accepted Answer

LCM= 6336, GCF= 4

Answer

LCM= 3663, GCF= 24

Answer

LCM= 6330, GCF= 4

Answer

LCM= 6336, GCF= 2

Question 24

Find the GCF of 72 and 90.

Accepted Answer

18

Answer

12

Answer

24

Answer

36

Question 25

Find the GCF of 56 and 84.

Accepted Answer

28

Answer

14

Answer

42

Answer

70

Question 26

Find the GCF of 63 and 81.

Accepted Answer

9

Answer

7

Answer

12

Answer

15

Question 27

What type of problem is this: Miss Friedman knows 92.5 plays a Shawn Mendes song every hour on the hour and 106.7 plays Shawn Mendes every 15 minutes. When is the next time both stations will play Shawn Mendes at the same time?

Accepted Answer

LCM/Least Common Multiple

Answer

GCF/ Greatest Common Factor

Question 28

What kind of problem is this: Miss Friedman needs to make math packets. Miss Friedman has 32 pencils and 24 pieces of paper. How many packets can she make with no left overs?

Accepted Answer

GCF/Greatest Common Factor

Answer

LCM/Least Common Multiple

Question 29

Find the GCF of each set of numbers.
28, 42, 56

Accepted Answer

14

Answer

4

Answer

7

Answer

8

Question 30

Find the GCF of each set of numbers.
14, 56, 63

Accepted Answer

7

Answer

9

Answer

4

Answer

8

Question 31

What is the GCF of 77, 91, and 143?

Accepted Answer

1

Answer

182

Answer

286

Answer

154

Answer

no answer

Question 32

What is the LCM of 12, 18, and 81?

Accepted Answer

324

Answer

224

Answer

642

Answer

423

Answer

no answer

Question 33

You have 18 red legos and 24 green legos. You need to combine them into groups of the same size with the same number of red and green legos in each group.
A. What is the greatest number of groups you can make?
B. How many red and green legos will be in each group?

Accepted Answer

A.  6 groups  B.  3 red and 4 green

Answer

A.  72 groups  B.  6 red and 3 green

Answer

A.  3 groups  B.  6 red and 8 green

Question 34

An art project requires rows with the same number of discs and same amount of red and blue discs in each row. You have 40 red discs and 24 blue discs.
A. What is the greatest number of discs you could put in each row?
B. How many red discs and blue discs will be in each row?

Accepted Answer

A.  8 discs  B.  5 red and 3 blue

Answer

A.  120 discs  B.  3 red and 5 blue

Answer

A.  4 discs  B.  10 red and 6 blue

Question 35

You have a set of 12 hearts, 16 diamonds, and 20 clubs that need to be put into equal groups. Each group must be made up of the same number of hearts, diamonds, and clubs. What is the greatest number of groups that can be made?

Accepted Answer

4 groups

Answer

6 groups

Answer

2 groups

Question 36

You are watching a parade and observe cars going by in groups of 4 blue cars and 6 green cars at a time. If you observe the same number of blue and green cars, what is the smallest number of each car you could have observed?

Accepted Answer

12 cars

Answer

2 cars

Answer

24 cars

Question 37

Martin is creating snack bowls out of walnuts and cashews. He has 20 walnuts and 25 cashews, and he wants each bowl to have an identical number of walnuts and cashews, with no nuts left over. What is the greatest number of bowls Martin can create?

Accepted Answer

5

Answer

10

Answer

20

Answer

100

Question 38

What is the greatest common factor of 28, 70, and 42?

Accepted Answer

14

Answer

7

Answer

28

Answer

6

Question 39

What is the LCM of 2, 4, and 9?

Accepted Answer

36

Answer

18

Answer

27

Answer

40

Question 40

Josh and Eva are packing first-aid supplies. It takes Josh 12 minutes to fill a box with bandages. It takes Eva 8 minutes to fill a box with antibiotics. If they start packing boxes at the same time, how long will it be before they start filling a new box at the same time?

Accepted Answer

24

Answer

9

Answer

96

Answer

36

Question 41

A video game has 3 villains who appear on screen at different intervals. One villain appears every 5 seconds, a second villain appears every 10 seconds, and a third villain appears every 16 seconds. how much time passes between occasions when all three villains appear at the same time?

Accepted Answer

80 seconds

Answer

32 seconds

Answer

125 seconds

Answer

60 seconds

Question 42

Pencils come in packages of 10. Erasers come in packages of 12. Dean wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil. How many packages of pencils and erasers should Dean buy?

Accepted Answer

6 packages of pencils and 5 packages of erasers.

Answer

5 packages of pencils and 4 packages of erasers.

Answer

4 packages of pencils and 3 packages of erasers.

Answer

12 packages of pencils and 10 packages of erasers.

Question 43

An art project requires rows with the same number of discs and same amount of red and blue discs in each row. You have 40 red discs and 24 blue discs.
A. What is the greatest number of discs you could put in each row?
B. How many red discs and blue discs will be in each row?

Accepted Answer

A.  8 discs  B.  5 red and 3 blue

Answer

A.  120 discs  B.  3 red and 5 blue

Answer

A.  4 discs  B.  10 red and 6 blue

Question 44

5⁴ is not the same as _______.

Accepted Answer

53 x 52

Answer

52 x 52

Answer

252

Answer

5 x 5 x 5 x 5

Question 45

Find the GCF and LCM of 48 and 36?

Accepted Answer

GCF=12/LCM=144

Answer

GCF=8/LCM=56

Answer

GCF=7/LCM=49

Answer

GCF=3/LCM=36

Question 46

By coincidence, Farid's Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint comes in 10-liter containers while blue paint is sold in containers of 5 liter. What is the smallest amount of each paint color the store must have sold?

Do you need to find the GCF or LCM?

Accepted Answer

LCM

Answer

GCF

Question 47

Matthew and Polly are each assigned a paper for a class they share. Matthew decides to write 9 pages at a time while Polly decides to write 12 pages at a time. If they end up writing the same number of pages, what is the smallest number of pages that the papers could have had?

Do you need to find the GCF or LCM?

Accepted Answer

LCM

Answer

GCF

Question 48

Elise wishes to advertise her business, so she gives packs of 4 red flyers to each restaurant owner and sets of 12 blue flyers to each clothing store owner. At the end of the day, Elise realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color?

Do you need to find the GCF or LCM?

Accepted Answer

LCM

Answer

GCF

Question 49

Hugo is putting together first-aid kits. He has 32 large bandages and 48 small bandages, and he wants each kit to be identical, with no bandages left over. What is the greatest number of first-aid kits Hugo could put together?

Do you need to find the GCF or LCM?

Accepted Answer

GCF

Answer

LCM

Question 50

The following prime factorization represents which number: 2² x 3 x 7

Accepted Answer

84

Answer

14

Answer

42

Answer

70

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