The HCF of two distinct prime is $1$ .

True

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False

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Solution

The correct option is A True
Prime numbers always have factor as $1$ .
So two prime numbers will always have HCF as $1$ .
Example as we have two prime numbers $2$ and $3$ so,
$2 = 2 x 1$ and $3 = 3 x 1$
So, here common factor is $1$ .

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Similar questions

State whether the statement is True or False:

The HCF of two distinct prime numbers is $1$ .

Question 26
Which of the following statements is not true?

(A) The HCF of two distinct prime numbers is 1
(B) The HCF of two co-prime numbers is 1
(C) The HCF of two consecutive even numbers is 2
(D) The HCF of an even and an odd number is even.

Q. the hcf of 8,9and 25is
what is the hcf of two consecutive natural numbers?
what is the hcf of any two prime numbers?
what is the hcf of 17,23, and 29?

Q. HCF of two or more prime numbers is ___________.

What is the HCF of any two co-primes?

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The HCF of two distinct prime is 1.

The correct option is A TruePrime numbers always have factor as 1. So two prime numbers will always have HCF as 1.Example as we have two prime numbers 2 and 3 so,2=2x1 and 3=3x1So, here common factor is 1.

The HCF of two distinct prime is $1$ .

The correct option is A True
Prime numbers always have factor as $1$ .
So two prime numbers will always have HCF as $1$ .
Example as we have two prime numbers $2$ and $3$ so,
$2 = 2 x 1$ and $3 = 3 x 1$
So, here common factor is $1$ .