Question

If n is a non-zero integer, then HCF (n+1,n) = ______

Answer 1

Answer:

n+2

Step-by-step explanation:

if n is a non-zero integer, then hcf(n+1,n) = n+2

Answer 2

Answer:

1

Step-by-step explanation:

Apply Euclid’s division lemma to given numbers n+1 and n, such that c=dq+r where c=n+1 and d=n,0≤r<d.

⇒n+1=n×1+1

Since, r≠0, then we apply division lemma to n and 1.

⇒n=1×n+0

Since r here is 0, 1 will be the HCF.

Hence, HCF(n+1,n)=1.