Question

if p , q are two consecutive natural numbers then HCF(p,q) is: ????

Answer 1

Answer:

H.C.F. of P and Q = 1

Step-by-step explanation:

P and Q are given to be consecutive numbers.

Also, P < Q

So, P can be written as P = Q - 1

⇒ The only common factor in P and Q is 1

So, P and Q are both the co-prime numbers

And H.C.F. of two co-prime numbers is given by 1.

⇒ H.C.F. of P and Q = 1

Answer 2

Answer:

HCF(p,q)=1

Step-by-step explanation:

Given p,q are two consecutive natural numbers .

We know that,

HCF of any two consecutive natural numbers is 1.

Therefore,

HCF(p,q) = 1

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