(B) Let two consecutive natural numbers be $n$ and $n+1$,where $n \in \mathbb{N}$.Any common divisor of $n$ and $n+1$ must also divide their differenc

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(B) Let two consecutive natural numbers be $n$ and $n+1$,where $n \in \mathbb{N}$.Any common divisor of $n$ and $n+1$ must also divide their difference.The difference is $(n+1) - n = 1$.The only positive divisor of $1$ is $1$.Therefore,the greatest common divisor $(\text{g.c.d.})$ of $n$ and $n+1$ is $1$.