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.
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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