GCF/LCM Key Words

You are making 75 chocolate bars and 45 carmel pecan bars for some gift boxes. If each box will contain exactly the same bars, what is the greatest number of gift boxes you can put together?

• Greatest Common Factor

• Least Common Multiple

Beginning at 8:30 A.M., tours of the National Capitol andthe White House begin at a tour agency. Tours for the National Capitol leave every 15 minutes. Tours for the White House leave every 20 minutes. How often do the tours leave at the same time?

• GCF

• LCM

Claire takes private lacrosse lessons every 6 days and pianolessons every 4 days. In how many days will she have both piano and lacrosse on the same day?

• GCF

• LCM

Elijah 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 greatest number of groups Elijah can make?

• Greatest Common Factor

• Least Common Multiple

Caden and Lillian both began traveling around a circular track. Caden is riding his bike, and Lillian is walking. It takes Caden 7 minutes to make it all the way around, and Lillian takes 12 minutes. How much time will pass until they meet at the starting line?

• GCF

• LCM

Joanna just received two separate gifts from her great-great-grandmother. The first gift is a box of 18 chocolate candy bars, and the second gift is a pack of 12 cookies. Joanna wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins. What is the greatest number of snack bags that Joanna can make?

• Greatest Common Factor

• Least Common Multiple

Two of the lights at the local stadium are flickering. They both just flickered at the same time. One of the lights flickers every 7 seconds and the other light flickers every 8 seconds. How many seconds until both lights will flicker at the same time again?

• Greatest Common Factor

• Least Common Multiple

Your local radio station is having their yearly music player and concert ticket giveaway. For one minute, every 5th caller will win a music player and every 7th caller will win concert tickets. You were just the first caller to win both a music player and concert tickets! What number caller were you?

• GCF

• LCM

Ace is helping his classmates get ready for their math test by making them identical packages of pencils and calculators. He has 72 pencils and 24 calculators and he must use all of the pencils and calculators. If Ace creates the greatest number of identical packages possible, how many pencils will be in each package?

• GCF

• LCM

A car dealer has 20 Buick Encores and 25 Chevy Malibu left in the parking lot. The dealer wants to arrange the cars in rows so that each row has the same number of vehicles and the same number of vehicles of each type. What is the greatest number of rows that can be formed?

• Greatest Common Factor

• Least Common Multiple