LCM and GCF Practice Worksheet

Practice worksheet for 7th-grade students covering Least Common Multiple (LCM) and Greatest Common Factor (GCF) of numbers.

Grade 7 Math Number SenseNumber TheoryLCM and GCF

Use This Worksheet

Includes

2 Fill in the BlanksShort AnswerTrue / FalseMultiple Choice

Standards

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

Topics

mathgrade 7number senselcmgcf

7 sections · Free to use · Printable

← More Math worksheets for Grade 7

LCM and GCF Practice

Name:

Date:

Score:

Read each question carefully and provide your answer in the space provided. Show your work where necessary.

Find the GCF for each pair of numbers.

1. GCF of 12 and 18:

2. GCF of 24 and 36:

3. GCF of 15 and 25:

4. GCF of 30 and 45:

Find the LCM for each pair of numbers.

1. LCM of 4 and 6:

2. LCM of 8 and 12:

3. LCM of 9 and 15:

4. LCM of 10 and 25:

Solve the following word problems.

1. Two bells ring at intervals of 8 minutes and 10 minutes respectively. If they ring together at 9:00 AM, when will they next ring together?

2. A baker has 48 chocolate cookies and 60 oatmeal cookies. He wants to package them in boxes such that each box has the same number of chocolate cookies and the same number of oatmeal cookies. What is the greatest number of boxes he can make?

Determine if the following statements are true or false.

1. The GCF of two prime numbers is always 1.

True

False

2. The LCM of two numbers is always greater than or equal to the numbers themselves.

True

False

1. Which of the following is the GCF of 20 and 30?

2. What is the LCM of 7 and 9?