Question

using fundamental theorem of arithmetic find the HCF OF 26,51,91

Answer 1

Hi ,

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

I hope this helps you.

***

Answer 2

Answer:

Step-by-step explanation:

26=1×2×13

52=1×2×2×13

91=1×91

HCF=1