HCF of two consecutive even numbers is _____.

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Solution

$1.2, 3, 4, 5, . . . . . . . .$ are natural numbers.
Among these natural numbers $2, 4, 6, 8, . . .$ are even consecutive numbers.
It is evident that $2$ is the only common factor (except $1$ ) between two consecutive even natural number.

Hence, $H C F$ of two consecutive even natural numbers is $2$ .

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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.

Question 2 (a)

What is the HCF of two consecutive numbers?

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HCF of two consecutive even numbers is _____.

1.2,3,4,5,........ are natural numbers.Among these natural numbers 2,4,6,8,... are even consecutive numbers.It is evident that 2 is the only common factor (except 1) between two consecutive even natural number.Hence, HCF of two consecutive even natural numbers is 2.