GCF & LCM: Real-World Challenges for 6th Graders

1. Sarah has 24 apples and 36 oranges. What is the greatest common factor of the number of apples and oranges she has?

• 12

• 6

• 24

• 18

2. Tom is organizing a party and wants to arrange chairs in rows. If he has 18 chairs and 30 tables, what is the least common multiple of the number of chairs and tables he can use to arrange them evenly?

• 120

• 90

• 60

• 72

3. A gardener has 40 flowers and 60 plants. What is the greatest common factor of the total number of flowers and plants he has?

• 50

• 20

• 30

• 10

4. Two friends are running laps around a track. One runs every 12 minutes, and the other runs every 15 minutes. How often will they meet at the starting point?

• 30 minutes

• 45 minutes

• 60 minutes

• 75 minutes

5. A baker is making two types of cookies. One batch requires 20 chocolate chips, and the other requires 30. What is the greatest common factor of the chocolate chips needed for both batches?

• 5

• 10

• 25

• 15

6. A school is planning a field trip and needs to arrange buses. If one bus can hold 24 students and another can hold 36 students, what is the least common multiple of the number of students each bus can hold?

• 72

• 48

• 60

• 84

7. Lisa has 48 stickers and 72 stamps. What is the greatest common factor of the stickers and stamps she has?

• 12

• 36

• 48

• 24

8. A music teacher has 15 guitars and 25 drums. What is the least common multiple of the number of guitars and drums for a concert?

• 75

• 50

• 60

• 100

9. Two cyclists are riding around a park. One completes a lap every 10 minutes, and the other every 14 minutes. How long will it take for them to be at the starting point together again?

• 80 minutes

• 70 minutes

• 90 minutes

• 60 minutes

10. A toy store has 18 teddy bears and 27 dolls. What is the greatest common factor of the number of teddy bears and dolls in the store?

• 9

• 6

• 18

• 12