Question

HCF of two consecutive number is ____​

Answer 1

HCF of two consecutive numbers is 1 .

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Answer 2

The H.C.F of two consecutive natural numbers always will be '1'.

step by step explanation:

The H.C.F of two consecutive natural numbers always will be '1'.

Solution:

H.C.F of two consecutive numbers:

Let us assume that the two consecutive numbers are 8 and 9.

We know that the Factors of 8 and 9 are

8= 1, 2, 4 and 8.......... (1)

9=1, 3 and 9.............. (2)

Therefore,

From (1) and (2),

We can say that the H.C.F of two consecutive numbers 8 and 9 and their common factor is always 1.

The H.C.F of two consecutive natural numbers always will be '1'.

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