Greatest Common Factor: Challenge & Extension
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on finding the Greatest Common Factor (GCF) for simplifying fractions, with progression from basic to advanced problems suitable for GCSE Higher students.
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Full preview • 11 questions
Greatest Common Factor: Challenge & Extension
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
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.
Determine the GCF of 48, 60, and 84.
[2 marks]3.
Simplify the fraction 36/48 using the GCF.
[3 marks]4.
What is the GCF of 81 and 54? Show your working.
[3 marks]5.
Calculate the GCF of 150 and 200.
[2 marks]6.
A bakery makes loaves of bread in packs of 16 and 24. What is the largest size of pack that can be made using both without leftovers?
[4 marks]7.
Find the GCF of 42 and 56.
[2 marks]8.
Construct two numbers that have a GCF of 15 but are not multiples of 30.
[4 marks]9.
Identify the mistake: Students claim that GCF of 20 and 25 is 10 because both are divisible by 5.
[3 marks]10.
Using prime factorization, find the GCF of 84 and 126.
[3 marks]11.
What is the GCF of 18, 30, and 42? Show your working.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet