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GCF and LCM Word Problems
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Greatest Common Factor
The largest factor that two or more numbers have in common.
Least Common Multiple
The smallest multiple (other than zero) that two or more numbers have in common.
48
Two ships sail between New York and London. One makes the round trip in 12 days. The other takes 16 days. They both leave London today. In how many da...
84
Gavin and Leah both began traveling around a circular track. Gavin is riding his bike, and Leah is walking. It takes Gavin 7 minutes to make it all th...
20
At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers ca...
40
Helen has pieces of train track that are 8 inches long that she is connecting together to form a track that her train can travel on. Michael is also t...
9
Evan has two pieces of wood: one is 90 inches and the other is 72 inches. He wants to cut both pieces of wood into smaller pieces so that all these pi...
200
Radio station Z100 was giving away a $100 bill to every 100th caller during a contest and gave Jingle Ball tickets to every 40th caller. How many call...
75
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they c...
4
Myles has 18 oranges, 27 pears, and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket with no fruit left ov...
24
The school cafeteria serves tacos every sixth day and cheeseburgers every eighth day. If tacos and cheeseburgers are both on today's menu, how many da...
9
Lizzie is making activity baskets to donate to charity. She has 12 coloring books, 28 markers, and 36 crayons. How many crayons will go in each basket...
45
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...
8
Sam has 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greate...
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