Caitlin Works Part-Time at the Mall

Name______Date______Class______Number Theory and Fractions Practice A: Greatest Common Factor Find the GCF of each set of numbers. 1. 6 and 9 2. 4 and 8 3. 8 and 12

Factors of 6= Factors of 4= Factors of 8 =

Factors of 9= Factors of 8= Factors of 12 =

GCF of 6 and 9 = _____ GCF of 4 and 8= _____ GCF of 8 and 12 =_____

4. 6 and 15 5. 10 and 15 6. 9 and 12

F(6)= F(10)= F(9)=

F(15)= F(15)= F(12)=

GCF(6,15)=______GCF(10,15)=______GCF(9, 12)=______

7. 4 and 10 8. 5 and 20 9. 7 and 14

F(4)= F(5)= F(7)

F(10)= F(20)= F(14)=

GCF(4,10)=______GCF(5,20)=______GCF(7,14)=______

10. 8 and 11 11. 2 and 12 12. 9 and 21 F(8) = F(2)= F(9)=

F(11)= F(12)= F(21)= GCF(8, 11)= ______GCF(2, 12)=______GCF(9, 21)______

Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Mathematics Name______Date______Class______Circle the letter of the correct answer. 13. For which set of numbers is 14. For which set of numbers is 6 the GCF? 4 the GCF? A 2, 3, and 6 F 1, 4, and 8 B 3, 6, and 12 G 2, 4, and 16 C 12, 18, and 24 H 1, 2, and 4 D 1, 6, and 12 J 8, 12, and 16

15. Bonny has 24 wood beads and 30 glass beads. She wants each necklace she makes to have the same number of wood beads and the same number of glass beads. What is the greatest number of necklaces she can make if all the beads are used? (Find the GCF of 24 and 30) Factors of 24 =

Factors of 30 =

GCF(24, 30)=______16. Mike is setting up fish tanks at the pet store. He has 6 angel fish, 12 tiger barbs, and 15 guppies. If he wants to have the same number of each kind of fish in every tank, what is the greatest number of tanks he can set up? (Find the GCF of 6, 12, and 15)

Factors of 6 =

Factors 12 =

Factors of 15 =

GCF of 6, 12, and 15 = ______