Gcf and Lcm

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.
What is the greatest number of groups you can make?
How many red and green legos will be in each group?

•  6 groups  3 red and 4 green

•  72 groups  6 red and 3 green

•  3 groups  6 red and 8 green

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?

• 6 groups

• 2 groups

• 4 groups

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?

• 4

• 2

• 48

• 8

Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?

• 55 minutes

• 25 minutes

• 60 minutes

• 75 minutes

Lisa is making activity baskets to donate to charity.  She has 12 coloring books and 36 crayons.  What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?

• 2

• 12

• 36

• 6

At Kentucky Fried Chicken, the kitchen staff baked 96 chicken legs and 144 thighs.  The staff had to prepare platters for an office lunch.  If each platter will have the same number of legs and thighs, what is the greatest number of platters they can make?

• 48

• 2

• 4

• 16

Jeremy has two pieces of wood:  one is 90 inches and the other is 72 inches. He wants to cut both pieces into smaller pieces of the same length.  What is the longest possible length he can cut and not have any lumber left over?

• 9

• 2

• 18

• 72

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?

• 16th customer

• 150th customer

• 300th customer

• 180th customer

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?

• Greatest Common Factor

• Least Common Multiple

Marcus collects donations and sends care packages to troops overseas. He has 36 bars of soap and 24 toothbrushes and wants to arrange the items so the packages are identical. What is the greatest number of packages that Marcus can make using all the soap and toothbrushes?

• 6

• 8

• 10

• 12