LCM GCF Practice Quiz

At the bustling movie theater, Elijah and Liam are eagerly waiting to see who will be the lucky customer to snag both a free drink and a free bag of popcorn. The theater gives out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Can you help them figure out who will be the first customer to win both free items?

• 180th customer

• 150th customer

• 16th customer

• 300th customer

Mia and Benjamin are on a mission to build the ultimate train track! Mia has pieces that are 8 inches long, while Benjamin's pieces are 20 inches long. They're both determined to create tracks of the same length. Can you figure out how long the shortest track will be when their tracks match perfectly?

• 10 inches

• 30 inches

• 40 inches

• 20 inches

Emma and Abigail decided to surprise their teacher friends with a sweet treat! Emma baked 30 oatmeal cookies, while Abigail whipped up 48 chocolate chip cookies. They want to package these cookies into identical containers, ensuring each container has the same number of each kind of cookie. If they aim for the maximum number of cookies per container, how many containers will they need?

• 4

• 8

• 6

• 2

Abigail and Ethan are excitedly planning a 6th grade intramural extravaganza! With 40 enthusiastic girls and 32 eager boys ready to join the fun, they need to form teams. Each team must have the same number of girls and the same number of boys. What is the greatest number of teams that can join in on the excitement?

• 2

• 4

• 8

• 6

At the annual school picnic, James and Priya whipped up a storm by preparing 96 delicious sandwiches and 144 scrumptious cookies. They want to create snack boxes for their friends. If each box must have the same number of sandwiches and cookies, what is the greatest number of snack boxes they can make?

• 4

• 2

• 48

• 16

Aria and Priya are building a treehouse and have two pieces of magical wood: one is 90 inches and the other is 72 inches. They want to cut both pieces into smaller, enchanted pieces of the same length to ensure their treehouse is perfectly balanced. What is the longest possible length they can cut without leaving any magical wood behind?

• 72

• 18

• 2

• 9

Charlotte, the fruit fairy, has 18 magical oranges and 27 enchanted pears. She wants to create fruit baskets with the same number of each fruit in each basket to share with her friends James, Maya, and Oliver. What is the greatest number of baskets she can make?

• 9

• 18

• 3

• 27

Isla loves adventures! She goes hiking every 4 days and swimming every 6 days. Today, she did both activities. How many days from now will Isla be able to enjoy both hiking and swimming on the same day again?

• 12 days

• 24 days

• 48 days

• 2 days

Abigail and Rohan are on a mission to create the most colorful activity baskets for charity! They have 12 vibrant coloring books and 36 dazzling crayons. What is the greatest number of baskets they can make if each type of item is equally distributed among the baskets?

• 2

• 36

• 6

• 12

Rohan and Daniel are throwing an epic joint birthday bash! They have 24 colorful balloons and 40 funky party hats. They want to make the coolest identical party favor bags with the same number of balloons and hats in each. What is the greatest number of identical party favor bags they can create?

• 4

• 1

• 8

• 2