If p and q are two consecutive odd natural numbers greater than 3, fin

1.	If p and q are two consecutive odd natural numbers greater than 3, find the difference between LCM(p,q) and HCF(p,q).
Answer» 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

If p and q are two consecutive odd natural numbers greater than 3, find the difference between LCM(p,q) and HCF(p,q).

Answer»

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

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If p and q are two consecutive odd natural numbers greater than 3, find the difference between LCM(p,q) and HCF(p,q).

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