Greatest Common Factor: Fluency & Practice

Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on identifying and calculating the Greatest Common Factor to simplify fractions and solve related problems.

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Full preview • 11 questions

Greatest Common Factor: Fluency & Practice

Subject: MathematicsGrade: Grade 8
Name:
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Untitled Worksheet

Grade Grade 8
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Find the Greatest Common Factor of 24 and 36.
[2 marks]
2.
Calculate the GCF of 81 and 54.
[2 marks]
3.
Determine the GCF of 50, 75, and 125.
[3 marks]
4.
Simplify the fraction 42/56 using the GCF.
[3 marks]
5.
A teacher has 48 red pencils and 60 blue pencils. What is the largest number of identical pencil sets she can make without sharing pencils?
[4 marks]
6.
Find the GCF of 100 and 85.
[2 marks]
7.
Identify the common mistake: Students find 1 as the GCF of 45 and 55. Is this correct? Explain and correct if needed.
[4 marks]
8.
Calculate the GCF of 36, 48, and 60.
[3 marks]
9.
Construct two numbers with a GCF of 16 but no greater common factor.
[3 marks]
10.
Using prime factorization, find the GCF of 84 and 126.
[3 marks]
11.
Explain why the GCF of two prime numbers is always 1.
[4 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet