Question

If a and b are co-prime numbers, then find the HCF (a, b)

Answer 1

Answer:

HCF of two co–prime numbers is always 1 . SO, HCF of (a,b) =1

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Answer 2

SOLUTION

GIVEN

a and b are co-prime numbers

TO DETERMINE

The HCF( a , b )

EVALUATION

Here the given numbers are a and b

We know two numbers are said to be co-primes if the numbers have only one common factor as 1

Again for the given two numbers HCF is the greatest number that divides each of the numbers

Since a and b are co-prime numbers

So the only common factor between a and b is 1

This gives

HCF( a , b )

= Highest Common Factor of a and b

= 1

FINAL ANSWER

If a and b are co-prime numbers, then HCF (a, b) = 1

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