Find the pair of natural numbers if gcd is 5 and lcm =105
Answers
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Solution :-
L.C.M. = 105 and H.C.F. = 5
We know that,
L.C.M.*H.C.F = Product of the two numbers
⇒ 105*5 = 525
So, product of the two numbers should be 525.
Or,
Prime factorization of 525 = 3*5*5*7
Since 5 is the Highest Common Factor, therefore 5 should be factor of both the numbers.
So, the numbers are = 3*5 and 5*7
i.e. 15 and 35
Hence, the two natural numbers are 15 and 35,
Answer.
L.C.M. = 105 and H.C.F. = 5
We know that,
L.C.M.*H.C.F = Product of the two numbers
⇒ 105*5 = 525
So, product of the two numbers should be 525.
Or,
Prime factorization of 525 = 3*5*5*7
Since 5 is the Highest Common Factor, therefore 5 should be factor of both the numbers.
So, the numbers are = 3*5 and 5*7
i.e. 15 and 35
Hence, the two natural numbers are 15 and 35,
Answer.
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