Greatest Common Divisor (GCD) Worksheet

Practice finding the Greatest Common Divisor (GCD) of numbers, including prime factorization and real-world problems for Grade 7 math.

Grade 7 Math Number SenseGreatest Common Divisor

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

mathgrade 7greatest common divisorGCDnumber senseprime factorization

7 sections · Free to use · Printable

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Greatest Common Divisor (GCD) Practice

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Find the Greatest Common Divisor (GCD) of 18 and 24 by listing all the factors for each number.

Factors of 18:

Factors of 24:

GCD(18, 24):

2. Use prime factorization to find the GCD of 36 and 48.

Prime factorization of 36:

Prime factorization of 48:

Common prime factors:

GCD(36, 48):

3. What is the Greatest Common Divisor of 60 and 75?

4. A baker has 40 chocolate chip cookies and 32 oatmeal cookies. She wants to arrange them into identical plates so that each plate has the same number of chocolate chip cookies and the same number of oatmeal cookies, with no cookies left over. What is the greatest number of identical plates she can make?

5. The Greatest Common Divisor of two prime numbers is always 1.

True

False