GCF & LCM Challenges: Word Problems for Grade 6

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

• 6

• 12

• 24

• 18

2. Two friends are making gift bags. One friend has 18 candies and the other has 30 candies. What is the least common multiple (LCM) of the number of candies they have if they want to make equal gift bags?

• 60

• 72

• 84

• 90

3. A gardener is planting flowers in rows. He has 40 tulips and 60 daisies. How many rows can he plant if he wants to have the same number of each type of flower in each row? (Find the GCF)

• 50

• 20

• 30

• 10

4. A teacher has 15 pencils and 25 erasers. If she wants to distribute them equally among students, what is the maximum number of students she can give the same number of pencils and erasers? (Find the GCF)

• 10

• 7

• 5

• 3

5. Two buses leave the station at the same time. One bus returns every 12 minutes and the other every 15 minutes. After how many minutes will both buses return to the station at the same time? (Find the LCM)

• 45 minutes

• 60 minutes

• 30 minutes

• 75 minutes

6. A baker is making cookies. He has 48 chocolate chips and 36 walnuts. What is the greatest number of cookie batches he can make if each batch requires the same number of chocolate chips and walnuts? (Find the GCF)

• 6

• 8

• 12

• 10

7. A music teacher has 20 recorders and 30 flutes. If she wants to form groups with the same number of instruments in each group, what is the largest number of groups she can form? (Find the GCF)

• 5

• 10

• 25

• 15

8. Two friends are collecting stickers. One has 28 stickers and the other has 42 stickers. What is the least number of stickers they need to collect to have the same number of stickers in each collection? (Find the LCM)

• 48

• 56

• 36

• 64

9. A farmer has 18 cows and 24 sheep. He wants to put them in pens with the same number of animals in each pen. What is the greatest number of pens he can use? (Find the GCF)

• 9

• 6

• 3

• 12

10. A school is organizing a field trip. They have 36 tickets for one bus and 48 tickets for another. What is the least number of buses they need to use if they want to fill each bus to the same number of tickets? (Find the LCM)

• 4

• 8

• 6

• 12