HCF and LCM Problems

Solve: A garden has a length of 24 meters and a width of 18 meters. What is the largest square tile that can be used to cover the entire garden without cutting?

• 6 meters

• 10 meters

• 12 meters

• 8 meters

If the HCF of two numbers is 8 and one number is 24, find the other number.

• 16

• 24

• 32

• 40

What is the LCM of 12, 18, and 24?

• 72

• 36

• 60

• 48

Solve: A farmer has 36 cows and 48 sheep. He wants to divide them into groups where each group has the same number of cows and sheep. What is the largest number of animals in each group?

• 15

• 12

• 20

• 10

A baker has 60 chocolate bars and 80 vanilla bars. What is the smallest number of bars he can pack into boxes so that each box has the same number of each type of bar?

• 30

• 25

• 20

• 15

Find the factors of 30.

• 1, 2, 3, 5, 6, 10, 15, 30

• 1, 2, 3, 4, 5, 6, 10, 15, 30, 60

• 1, 3, 5, 7, 11, 13, 17, 19, 23, 29

• 1, 2, 4, 6, 10, 15, 30

Calculate the greatest common factor of 42 and 56.

• 14

• 21

• 35

• 28

What is the least common multiple of 18 and 27?

• 54

• 45

• 36

• 63

Solve: A classroom has 24 desks and 30 chairs. What is the largest number of students that can be seated such that each student has a desk and a chair?

• 24

• 28

• 20

• 25

In a store, there are 36 red pens and 48 blue pens. What is the smallest number of pens that can be divided equally into packets with the same number of each color?

• 100

• 60

• 72

• 144