GCF and LCM Word Problems
Terms in this set (16)
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 greatest number of bouquets she can make?
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?
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?
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 days will it be before they are both on the menu again?
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 over. How many bananas will be in each basket?
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 chime together?
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 callers must call before someone wins both a $100 bill and a Jingle Ball ticket?
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 pieces are the same length. If he wants the pieces to be as long as possible and doesn't want to have any lumber left over, how many total pieces of lumber will he have?
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 trying to construct a track for his train but is using track pieces that are 20 inches long. How long will the shortest track be if the track that Helen builds ends up being the same length as Michael's track?
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 came to the theater. How many people received both free items?
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 the way around, and Leah takes 12 minutes. How much time will pass until they meet at the starting line?
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 days will both ships leave London together again?
Least Common Multiple
The smallest multiple (other than zero) that two or more numbers have in common.
Greatest Common Factor
The largest factor that two or more numbers have in common.
I want to plant 45 sunflower plants, 81 corn plants and 63 tomato plants in my
garden. If I put the same number of plants in each row and each row has only
one type of plant, what is the greatest number of plants I can put in one row?
At the gym, Hillary swims every 6 days, runs every 4 days and cycles every 16
days. If she did all three activities today, in how many days will she do all three
activities again on the same day?
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