Question

FIND THE H.C.F. OF 26 AND 91 BY PRIME FACTORISATION METHOD...​

Answer 1

Step-by-step explanation:

To find the HCF of 26 and 91 by prime factorisation method,

first do the prime factors of 26 and 91 individually

Prime factors of 26

$26 = 2 \times 13$

prime factors of 91

$91 = 7 \times 13$

Now in both the numbers ,check for any common prime factor.

it is clear that 13 is present in both 26 and 91.

So, HCF(26,91) = 13

Hope it helps you.

Answer 2

Given:

26 and 91

To find:

HCF of 26 and 91 by the prime factorization method.

Solution:

1) HCF is the highest common factor which means that the obtained number is divisible by the given number.

2) HCF by the prime factorization:

• 26 = 2×13

• 91 = 7×13

The common number in the factor of the given numbers is 13.

so the HCF of 26 and 91 is 13.

HCF[26,91] = 13