GCF and LCM

Front

There are 14 girls and 21 boys in Mrs. Andrew's gym class. Each team must have the same number of boys and girls. What is the greatest number of teams Mrs. Andrews can make if every student is on a team?

Back

7 teams

Front

How many participants received both a pencil and a notebook when every 6th student received a pencil and every 9th student received a notebook?

Back

5 students

Front

Ralph and his brother check the ferris wheel at different intervals. Ralph checks every 15 minutes, and Joe checks every 24 minutes. At what time will they meet at the ferris wheel again?

Back

3:00 PM

Front

Mrs. McCoy makes flower arrangements with 36 red, 60 white, and 72 pink carnations. Each arrangement must have the same number of each color. What is the greatest number of arrangements she can make if she uses every carnation?

Back

12 arrangements

Front

Juice comes in packs of 6 and granola bars come in packs of 8. If there are 24 players on the soccer team, what is the least number of packs needed so that each player has a drink and granola bar, and there are none left over?

Back

4 packs juice, 3 packs granola bars

Front

Vince has 12 jars of grape jam, 16 jars of strawberry jam, and 24 jars of raspberry jam. He wants to place the jam into the greatest number of boxes possible so that each box has the same number of jars of each kind of jam. How many boxes does he need?

Back

4 boxes

Front

Carolyn has 24 bottles of shampoo, 36 tubes of hand lotion, and 60 bars of lavender soap to make gift baskets. She wants to have the same number of each item in every basket. What is the greatest number of baskets she can make without having any of the items left over?

Back

12 baskets

Front

Two faucets are dripping. One faucet drips every 4 seconds and the other faucet drips every 9 seconds. If a drop of water falls from both faucets at the same time, how many seconds will it be before you see the faucets drip at the same time?

Back

36 seconds

Front

Mr. Stevenson is ordering shirts and hats for his Boy Scout Troop. There are 60 scouts in the troop. Hats come in packs of 3, and shirts come in packs of 5. What is the least number of packs each he should order so that each scout has 1 hat and 1 shirt, and none are left over?

Back

20 hat packs, 12 shirt packs

Front

Mr. Thompson's class was competing in field day. There were 16 students wearing blue shirts and 12 students wearing red shirts. He divided the class into the greatest number of teams possible with the same number of blue and red shirts on each team. How many students with each color shirt are on each team?

Back

3 red, 4 blue