GCF and LCM Word

What does the question below require you to find? Elena has 20 apples and 35 crackers for making snack bags. She wants to make as many snack bags as possible and wants each bag to have the same combination of apples and crackers. What is the largest number of snack bags she could make?

• Greatest Common Factor

• Least Common Multiple

A veterinarian has 36 dog biscuits and 45 Denta Stix for the dogs in her neighborhood. She wants to make gift bags for her clients. What is the greatest number of gift bags that she can make and have no left over biscuits or Denta Stix?

• 3 gift bags

• 6 gift bags

• 9 gift bags

• 15 gift bags

The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 cough drops. All the kits must have the same number of each supply, and all supplies must be used. What is the largest number of kits the nurse can make?

• The nurse can make 5 kits.

• The nurse can make 8 kits.

• The nurse can make 10 kits.

• The nurse can make 15 kits.

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

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

Jenny goes to karate class every 12 days. She also goes to the library every 18 days How many days will it be before she goes to both karate and the library on the same day?

• 6 days

• 36 days

• 42 days

• 52 days

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

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?

• 48 seconds

• 45 seconds

• 90 seconds

• 8 seconds

Samantha has two pieces of cloth. One piece is 72 inches wide and the other piece is 81 inches wide. She wants to cut both pieces into strips of equal width that are as wide as possible. How many inches wide should she cut the strips?

Ben exercises every 12 days and Isabel every 8 days. Ben and Isabel both exercised today. How many days will it be until they exercise together again?