GCF
What is the GCF (2,6)
2
LCM (4,5)
20
The PTA placed a trail marker in the ground every four hundred yards. Every nine hundred yards, the PTA set up a water station. What is the shortest distance a runner will have to run to see both a water station and trail marker at the same location?
36 hundred yards then a runner will see a water station and trail marker at the same place (LCM)
GCF (8,100)
4
LCM(6,36)
36
Timmy is shopping for a dance party. His donation to the party is fruit snacks and sodas. Fruit Snacks come in packages of 12, and sodas come in a package of 10. What is the fewest number of packages of each product Timmy must purchase so that he has the same number of fruit snacks and sodas?
Timmy needs 5 packs of fruit snacks and 6 packs of soda (find LCM then divide)
GCF(5,19)
1
LCM(11,7)
77
Gary found 72 shells and 40 coins at the beach. He wants to give them to some of his friends. Each friend will receive the same number of shells and the same number of coins. What is the greatest number of friends Gary can give shells and coins to?
He can give coins to 8 friends
GCF(96,88)
8
LCM(5,7)
35
Two gears in a machine are aligned by a mark drawn from the center of one gear to the center of the other. If the first gear has 15 teeth, and the second gear has 9 teeth, how many revolutions of the first gear are needed until the marks line up again?
45 revolutions
GCF(36,48)
12
LCM(12,8)
24
There are 18 girls and 24 boys who want to participate in a Trivia Challenge. If each team must have the same ratio of girls and boys, what is the greatest number of teams that can enter?
3 Girls per team
4 boys per team