Q. 264.7( 4 Votes )

# 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.

Answer :

A. It is true because their does not exist any number other than 1 which is a factor of both the prime numbers. Hence, 1 is also the HCF.

B. It is true as Numbers which do not have any common factor other than 1 are co-prime. Hence, for them 1 is also the HCF

C. It’s true since for two consecutive even numbers, only 2 is the HCF.

D. It’s false because an odd number can never have 2 as its factor and hence the HCF can never be even.

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