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I want to plant, 81 corn plants and 63 tomato
plants in my garden. Each row has the same number of plants that the other rows
have without a remainder left over.
What is the greatest number of plants I can
put in one row?
GCF : 9 in each row
Car X and Car Y are at the starting point of a track race at the same time. Car X and car Y make one lap every 60s and every 80s respectively. How long does it take for both cars to be back at the starting point at the same time?
LCM: 420seconds
Kate wishes to cut some squares from a vanguard sheet of 64 cm x 48 cm. She likes the square to be as big as possible and she doesn't want any left over. Find the length of each square?
GCF = 16 cm
Two runners begin running laps at the same time. The first runner completes a mile every 8 minutes and the second runner completes a mile every 10 minutes. At what time will they meet if their rate stays the same?
LCM : 40 minutes
Pencils come in packages of 10. Erasers come in packages of 12. Juan wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil. How many of each should he buy?
LCM : 60 of each
Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind.
GCF: 6
Two neon lights are turned on at the same time. One blinks every 4 seconds and the other blinks every 6 seconds. In 60 seconds, how many times will they blink at the same time?
LCM : 12 (5 blinks)
Ryan wants to build some shelves. He bought two large boards. One board measured 32 ft. long and the second board measured 16 ft. long. Ryan wants to cut the boards into the same size, without any wood left over?
GCF: 16
Al’s garden is 18 feet long and 30 feet wide. He wants to put fence posts the same distance apart along both the length and width of the fence. What is the greatest distance apart he can put the fence posts?
GCF: 6
There are 16 sixth graders and 20 seventh graders in the rocket club. Students will be arranged in equal groups to build models, but each group will have only sixth or seventh graders. What is the greatest number of students that can be i
GCF: 4
Suppose you have 50 blueberry muffins and 75 cranberry muffins. You want to make as many identical bags of muffins as possible. Each bag will have equal number of muffins with no leftovers?
GCF: 25
Melissa was necklaces out of beads. One of the necklaces used only green beads that were 3 millimeters each in length. The red bracelet used beads that were 5 millimeters each in length. What is the smallest size necklace she can make?
LCM: 15
At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. What customer will be the first to receive both?
LCM: 150th
Melanie has pieces of train track that are 9 inches long. Martin has pieces that are 15 inches long. If they line up the tracks to be the same length, what is the smallest track length?
LCM: 45 inches
Jenny goes to dance class every 6 days, karate class every 8 days. On October 1st she went to both classes. On what date will she do both classes again?
LCM: 24 (October 25th)
