Question

hcf of two consecutive natural numbers

Answer 1

Solution :-

H.C.F. of two consecutive natural numbers.

Let us take any two consecutive natural numbers. Say the two consecutive natural numbers are 15 and 16.

15 = 1, 3, 5 and 15

16 = 1, 2, 4, 8 and 16

We can see that out of the factors of 15 and 16, their only common factor s 1. If we take any other two consecutive natural numbers, their H.C.F. will also be 1. 
Therefore, we can say that the H.C.F. of any two consecutive natural numbers will always be 1.

Answer 2

Hcf of two consecutive number