GCF and LCM Problems

Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her 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?

Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height? Is this a GCF or LCM problem?

• GCF

• LCM

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

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

What does the question below require you to find? A string of holiday lights at a store have three colors that flash at different times. Red lights flash every fifth second. Blue lights flash every third seconds. Green light flashes every four seconds. The store owner turns on the lights. After how many seconds will all three lights flash at the same time for the first time?

• Greatest Common Factor

• Least Common Multiple

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