GCF and LCM Applications

GCF or LCM?

A jeweler is making identical necklaces. He has 24 gold beads and 144 glass beads. What is the greatest number of necklaces he can make using all the gold and glass beads?

• LCM

• GCF

Tags

CCSS.6.NS.B.4

GCF and LCM?

Kim, Heidi, and Tianti were running in a race. Kim was running at a 6 minute mile pace. Heidi was running at a 12 minute mile pace and Tianti was running at a 15 minute mile pace. If the girls started at the same time, when would they meet again?

• LCM

• GCF

Tags

CCSS.6.NS.B.4

GCF or LCM?

Neptune makes a full orbit every 24 days. Saturn makes a full orbit every 36 days. How many days will it take the two planets to complete an orbit together?

• GCF

• LCM

Tags

CCSS.6.NS.B.4

Cristian has 15 oranges, 9 peaches, and 18 pears. He wants to put all the fruit into baskets. Each basket must have the same number of fruits. Without mixing fruits, what is the greatest number of pieces of fruit that Cristian can put in each basket?

• LCM

• GCF

Tags

CCSS.6.NS.B.4

GCF or LCM?

Amelia is decorating identical picture frames. She has 75 red feathers and 30 blue tiles. What is the greatest number of frames she can decorate using all the feathers and tiles?

• LCM

• GCF

Tags

CCSS.6.NS.B.4

GCF or LCM?

Adam, Sam, and Noah were sunning around the track. Adam can run one lap in 15 minutes. Sam can run one lap in 25 minutes and Noah can run one lap in 10 minutes. If the boys started running at 12:45, what time will all 3 pass each other again?

• LCM

• GCF

Tags

CCSS.6.NS.B.4

Solve: A jeweler is making identical necklaces. He has 24 gold beads and 144 glass beads. What is the greatest number of necklaces he can make using all the gold and glass beads?

Tags

CCSS.6.NS.B.4

Solve: Kim, Heidi, and Tianti were running in a race. Kim was running at a 6 minute mile pace. Heidi was running at a 12 minute mile pace and Tianti was running at a 15 minute mile pace. If the girls started at the same time, when would they meet again?

Tags

CCSS.6.NS.B.4

CCSS.6.RP.A.1

Solve: Neptune makes a full orbit every 24 days. Saturn makes a full orbit every 36 days. How many days will it take the two planets to complete an orbit together?

Tags

CCSS.6.NS.B.4

Solve: Cristian has 15 oranges, 9 peaches, and 18 pears. He wants to put all the fruit into baskets. Each basket must have the same number of fruits. Without mixing fruits, what is the greatest number of pieces of fruit that Cristian can put in each basket?

Tags

CCSS.6.NS.B.4