Multiple choice

The LCM of two numbers is 36 times that of their HCF, the product of numbers is 3600, find their HCF

  1. 10

  2. 15

  3. 8

  4. 20
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A Correct answer
Explanation

LCM = 36 * HCF. Product = LCM * HCF = 36 * HCF^2 = 3600. HCF^2 = 100 => HCF = 10.

AI explanation

Using the identity that the product of two numbers equals their LCM multiplied by their HCF, we can establish the equation 3600 equals HCF multiplied by LCM. We are given that the LCM is 36 times the HCF, so substituting this into the equation gives 3600 equals HCF multiplied by 36 multiplied by HCF. Solving for the HCF squared gives 100, meaning the HCF is 10. The result is 10.

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