Greatest Common Factor: Mixed Review

Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet covering Greatest Common Factor with a variety of questions to reinforce understanding for GCSE Foundation students.

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Full preview • 12 questions

Greatest Common Factor: Mixed Review

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Find the Greatest Common Factor (GCF) of 24 and 36.
[2 marks]
2.
Calculate the GCF of 15, 25, and 35.
[2 marks]
3.
Determine the GCF of 48 and 180.
[2 marks]
4.
What is the GCF of 81 and 54?
[2 marks]
5.
Simplify the fraction 42/56 using GCF.
[3 marks]
6.
A rectangle has a length of 24 units and a width of 36 units. Find the GCF of the length and width to determine the size of the largest possible square tiles that can cover the rectangle without gaps.
[4 marks]
7.
Find the GCF of 42, 56, and 70.
[2 marks]
8.
What is the GCF of 81 and 126?
[2 marks]
9.
Construct two numbers less than 50 that have a GCF of 6. Show the numbers and their GCF.
[4 marks]
10.
Identify and correct the mistake in this solution: "Find the GCF of 18 and 24. The student says the GCF is 12 because 18 and 24 both divide by 6, so they conclude the GCF is 6."
[3 marks]
11.
Find the GCF of 60 and 48, then use it to simplify the fraction 60/48.
[4 marks]
12.
Challenge: Find two numbers greater than 50 that have a GCF of 25.
[4 marks]

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Details

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