HCF and LCM (AQA GCSE Maths): Flashcards

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

Largest number that divides exactly into given numbers without remainder

What is LCM (Lowest Common Multiple)?

Smallest number that is a multiple of given numbers

What is prime factorisation used for?

Expressing numbers as products of their prime factors

How to find HCF from Venn diagram?

Product of all prime factors in the intersection (overlapping part)

How to find LCM from Venn diagram?

Product of all prime factors in entire Venn diagram (both circles)

Prime factorisation of 108

22×332^2 \times 3^3

Prime factorisation of 240

24×3×52^4 \times 3 \times 5

HCF of 108 and 240

1212 (or 22×32^2 \times 3)

LCM of 108 and 240

21602160 (or 24×33×52^4 \times 3^3 \times 5)

Verification check for HCF and LCM

HCF × LCM equals product of both original numbers

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