Highest Common Factor (HCF)

Highest Common Factor (HCF)

IP 1

Definition

The HCF (greatest common divisor) of two or more positive integers is the largest positive integer that divides all of them exactly.

Note: Two whole numbers are co-prime if their HCF is \(1\). For example, \(8\) and \(9\) are co-prime.

Methods to Find HCF

For example: Find the highest common factor of \(1071\) and \(462\).

By prime factorisation

By repeated division (long division)

By Euclidean Algorithm

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Answer:\(\operatorname{HCF}(1071,462)=21\)

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