GCF/LCM Word Problems

Colton has 16 blue marbles and 8 white ones. If he wants to place them in identical groups without any marbles left over, what is the maximum amount of groups Colton can make?

Do I find the GCF or the LCM?

• GCF

• LCM

Tags

CCSS.6.NS.B.4

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?

Do I find the GCF or the LCM?

• GCF

• LCM

Tags

CCSS.6.NS.B.4

The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. How many days will it be before they are both on the menu?

Do I find the GCF or the LCM?

• GCF

• LCM

Tags

CCSS.6.NS.B.4

Wilma is thinking of a number that is divisible by both 17 and 8. What is the smallest possible number that Wilma could be thinking of?

Do I find the GCF or the LCM?

• GCF

• LCM

Tags

CCSS.6.NS.B.4

Tony needs to ship 12 comedy DVDs, 24 animated DVDs, and 30 musicals. He can pack only one type of DVD in each box and he must pack the same number of DVDs in each box. What is the greatest number of DVDs Tony can pack in each box?

Do I find the GCF or the LCM?

• GCF

• LCM

Tags

CCSS.6.NS.B.4

I am planting 50 apple trees and 30 peach trees. I want the same number and type of trees per row. What is the greatest number of trees I can plant per row?

• 3

• 5

• 10

• 15

Tags

CCSS.6.NS.B.4

There are 20 girls and 32 boys who want to participate in 6th grade intramurals. If each team must have the same number of boys and girls, what is the maximum amount of teams participating?

• 4

• 5

• 8

• 10

Tags

CCSS.6.NS.B.4

CCSS.6.RP.A.1

CCSS.6.RP.A.3

John goes to the park every 2 days. Brian goes to the park every 6 days. Which days will they both be at the park?

• 2

• 4

• 6

• 8

Tags

CCSS.6.NS.B.4

Hannah is making a game board that is 16 inches by 24 inches. She wants to use square tiles. What is the largest tile size she can use?

• 6

• 8

• 12

• 16

Tags

CCSS.6.NS.B.4

Boxes that are 12 inches tall are being stacked next to boxes that are 8 inches tall. What is the shortest height at which the two stacks will be the same height?

• 8

• 12

• 16

• 24

Tags

CCSS.6.EE.A.4

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9