Question

Find hcf of 36and 63 by prime factorisation.

Answer 1

36=3×2×3×2

63 =3×3×7

Hcf of 36 and 63 = 3×3

= 9

Thus, hcf of 36 and 63 is 9

I hope it will help you

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Answer 2

Solution:

We have to find HCF of 36 and 63.

Method - 1). By Prime Factorization.

=> 36 = 2 × 2 × 3 × 3

=> 63 = 3 × 3 × 7

=> HCF (36, 63) = 3 × 3

=> HCF (36, 63) = 9

Hence, HCF of 36 and 63 is 9.

Method - 2). By Euclid division lemma.

=>  a = bq + r           [Where, a = 63 and b = 36]

=> 63 = 36 × 1 + 27

=> 36 = 27 × 1 + 9

=> 27 = 9 × 3 + 0

Hence, HCF of 36 and 63 is 9.