Question

The H.C.F. of any two consecutive numbers is ____.

Answer 1

Finding H.C.F. of two consecutive numbers

Consider two consecutive numbers $10$ and $11$.

$$\begin{gathered} 1011(1 \\ \underline{-10} \\ 110(10 \\ \underline{-10} \\ 0 \end{gathered}$$

H.C.F. of $10$ and $11$$=1$

Therefore, the H.C.F. of two consecutive odd numbers is $1$.