LCM and GCF Word Problems

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

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

Peter has 18 oranges and 27 pears.  He wants to make fruit baskets with the same number of each fruit in each basket.  What is the greatest number of baskets he can make? 

• 3
• 18
• 9
• 27

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

Shannon 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?

• 6
• 2
• 4
• 8

There are 40 girls and 32 boys who want to participate in 6th grade intramurals. If each team must
have the same number of girls and the same number of boys. What is the greatest number of teams that can participate in intramurals?

• 6
• 4
• 8
• 2

There are 48 girls and 64 boys. 
The choir teacher plans to arrange the students in equal rows.
Only girls or boys will be in each row (no mixing of girls and boys in the same row). What is the greatest number of students that could be in each row?

• 8
• 6
• 16
• 12

Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers
for her teacher friends at school. She wants to divide the cookies into identical containers so that each
container has the same number of each kind of cookie. If she wants each container to have the
greatest number of cookies possible, how many plastic containers does she need?

• 2
• 4
• 6
• 8

Melanie has pieces of train track that are 8 inches long that she is connecting together to form a track that her train can travel on. Martin is also trying to construct a track for his train but is using track pieces that are 20 inches long. How long will the shortest track be if the track that Melanie builds ends up being the same length as Martin’s track?

• 10 inches
• 20 inches
• 30 inches
• 40 inches