Question

Using fundamental theorem of arithmetic find the hcf of 26 51 and 91

Answer 1

Step-by-step explanation:

highest common factor is 1 for 26, 51 and 91

Answer 2

The Fundamental Theorem of

Arithmetic:

Every composite number can be expressed as the product of powers of primes , and this factorisation is unique, except for the order of its prime factors.

HCF:

The HCF of two positive integers is

defined as the product of the

smallest power of each common

prime factor in the numbers.

According to the given problem,

26 = 2 × 13

51 = 3 × 1 7

91 = 7 × 13

We observe that there is no common

prime factor

Therefore ,

HCF( 26 , 51 , 91 ) = 1

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