Question

two number a and b are such that.
a×b = 102
LCM (a,b) = 102
​

Answer 1

Explanation:

SOLUTION

GIVEN

Two numbers such that a×b = 102 and LCM(a,b) = 102

TO DETERMINE

The value of HCF(a,b)

CONCEPT TO BE IMPLEMENTED

For two given numbers

HCF × LCM = Product of the numbers

EVALUATION

Here it is given that

Two numbers such that a × b = 102 and LCM(a,b) = 102

Now we know that for two given numbers

HCF × LCM = Product of the numbers

⇒ HCF × 102 = 102

⇒ HCF = 1

FINAL ANSWER

The value of HCF(a,b) = 1

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