Question
Find the HCF set of numbers using prime factorisation method.
27, 45, 81

Answer

27, 45, 81
Prime factorisation of 27 = 3 × 3 × 3
Prime factorisation of 45 = 3 × 3 × 5
Prime factorisation of 81 = 3 × 3 × 3 × 3
Common factors of 27, 45, 81 = 3 × 3 = 9
HCF (27, 45, 81) = 9
3 27
3 9
3 3
1
3 45
3 15
5 5
1
3 81
3 27
3 9
3 3
1

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