Question

What is the HCF of two odd consecutive numbers.

Answer 1

The set of natural numbers is$\left(N\right)=\left\{1.2,3,4,5,.........\right\}$

Among these natural numbers $1,3,5,7,9,......$. are odd consecutive ones.

It is evident that there is no common factor (except $1$) between two consecutive odd natural number.

So, HCF of two consecutive odd natural numbers is $1$.