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Product of Highest Common Factor and Least Common Multiple of two numbers is 216. If one of the number is 12, then what will be the ratio of these two numbers?

Product of Highest Common Factor and Least Common Multiple of two numbers is 216. If one of the number is 12, then what will be the ratio of these two numbers? Correct Answer 2 : 3

Given:

Product of HCF and LCM of two numbers = 216

One of the numbers = 12

Concept:

Product of the numbers = HCF × LCM

Calculation:

Let the numbers to be found be N

12 × N = 216

⇒ N = 216/12 = 18

The two numbers are 12 and 18

∴ The Ratio of these two numbers = 12 : 18 = 2 : 3

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