Question

what is the HCF of 390,775 and 1560​

Answer 1

Lets use prime factorising

390775 = 5 × 5 × 7 × 7 × 11 × 29

             $= (5^{2}) (7^{2}) (11) (29)$

1560 = 2 × 2 × 2 × 3 × 5 × 13

        $= (2^{3}) (3) (5) (13)$

To find HCF we take the factor / factors that appears in both. And the factor / factors should be of the smallest power. In this case it is :

= 5

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