Question

1. If the product of two natural numbers and their L.G.M are equal, then their gcd is
(A) 1
(B) 2
(C) a prime
(D) None of these​

Answer 1

Answer:

C) is a correct answer

Step-by-step explanation:

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Answer 2

Given-If the product of two natural numbers and their L.G.M are equal,

In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm, is the smallest positive integer that is divisible by both a and b.

In mathematics, the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

Let the two numbers are x and y

Then the product of them $=xy=$LCM of number

We know that the Product of two numbers = Product of their H.C.F.(GCD) and L.C.M

Then HCF (GCD) $\frac{xy}{xy} =1$

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