GCF and LCM

The Turtleman has 15 glasses and 10 mugs. He would like to set them out in identical groups, with none left over,

in preparation for a dinner party. What is the greatest number of groups The

Turtleman can set out?

To solve, we use GCF between the numbers 15 and 10

15: 1, 3, 5, 15

10: 1, 2, 5, 10

The greatest number of groups The Turtleman can set out is 5 for his dinner party.

GCF: (5)

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The greatest number of snack bags Waldo can make is 3.

• Waldo wants to create snack bags for a trip he is going on. He has 6 granola bars and 15 pieces of dried fruit. If the snack bags should be identical without any food left over, what is the greatest number of snack bags Waldo can make?

Spongebob buys strawberry gum in packs of 14 pieces and blueberry gum in packs of

7 pieces. If Spongebob wants to buy the same amount of each type of gum, what is

the smallest number of pieces of each flavor that he must buy?

To solve this problem, you must find the LCM between 14 and 7

14: 14, 28, 42, 56, 70

7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70

LCM: 14

Spongebob would have to buy 14 pieces of each flavor to have the same amount of each.

The minimum number of fish each must have caught is 72.

• Dan and Erin caught the same number of fish this week. Dan caught fish in nets that hold 9 fish, while Erin caught fish in nets that hold 8 fish. What is the minimum number of fish each must have caught?