HCF and LCM (AQA GCSE Maths): Quizzes

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HCF and LCM
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What is the Highest Common Factor (HCF)?

Largest number dividing exactly into all

What is the Lowest Common Multiple (LCM)?

Smallest multiple of given numbers

When using a Venn diagram, which part contains the HCF?

Product of factors in intersection

When using a Venn diagram, which part gives the LCM?

Product of all factors in diagram

Given 108=22×33108 = 2^2 \times 3^3 and 240=24×3×5240 = 2^4 \times 3 \times 5, what is the HCF?

1212

Given 108=22×33108 = 2^2 \times 3^3 and 240=24×3×5240 = 2^4 \times 3 \times 5, what is the LCM?

21602160

In a Venn diagram, where do common prime factors go?

In the overlapping section

How can you check if your HCF and LCM are correct?

HCF×LCM\text{HCF} \times \text{LCM} = product of original numbers

What method forms the foundation for calculating both HCF and LCM?

Prime factorisation

What is the key difference between finding HCF and LCM using Venn diagrams?

HCF uses intersection; LCM uses all

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