GCF and LCM

1
GCF and LCM
2
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?
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• To solve, we use GCF between the numbers 15 and 10

15 1, 3, 5, 15 10 1, 2, 5, 10
GCF (5)
The greatest number of groups The Turtleman can
set out is 5 for his dinner party.
3
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?

4
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
LCM 14
7 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
Spongebob would have to buy 14 pieces of each
flavor to have the same amount of each.
5
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?