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Greatest Common Divisor (GCD) Worksheet

This worksheet helps Grade 8 students practice finding the greatest common divisor (GCD) of two or more numbers using various methods.

Grade 8 Math Number SenseGreatest Common Divisor
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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.6.NS.B.4

Topics

mathgrade 8number senseGCDgreatest common divisor
7 sections · Free to use · Printable
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Greatest Common Divisor (GCD) Practice

Name:

Date:

Score:

Read each question carefully and follow the instructions to find the Greatest Common Divisor (GCD).

1. The Greatest Common Divisor (GCD) is the   number that divides two or more numbers without leaving a remainder.

2. To find the GCD, you can list all the   of each number and find the largest one they share.

3. The prime factorization method involves breaking down each number into its   factors.

4. List all the factors of 24 and 36. Then, identify their greatest common divisor.

5. What is the GCD of 12 and 18?

a

2

b

3

c

6

d

12

6. Find the GCD of 45, 75, and 105 using the prime factorization method. Show your work.

7. The GCD of two prime numbers is always 1.

T

True

F

False