Question

if a and b are two distinct prime numbers then what will be their hcf​

Answer 1

Answer:

1

Step-by-step explanation:

As, a and b are prime no.

So, they have no common factor other than 1.

Then, their HCF will be 1.

Answer 2

SOLUTION

GIVEN

a and b are two distinct prime numbers

TO DETERMINE

Their HCF

CONCEPT TO BE IMPLEMENTED

Prime Number : Prime numbers are the positive integers having only two factors, 1 and the integer itself

HCF : Full form of HCF is Highest common factor. HCF of two or more numbers is the greatest number which divides exactly the given numbers.

EVALUATION

We have given numbers as a and b are two distinct prime numbers

We know that Prime numbers are the positive integers having only two factors, 1 and the integer itself

So 1 is highest common factor between a and b

So their HCF = 1

Let us explain with numbers :

Consider two prime numbers 11 and 17

Then

11 = 1 × 11

17 = 1 × 17

Thus 1 is highest common factor between 11 and 17

So their HCF = 1

FINAL ANSWER

a and b are two distinct prime numbers then their HCF = 1

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