If the Geometric Mean of two numbers is 16 and their HCF is 8, what is the difference between the LCM and the HCF of the two numbers?

Question

If the Geometric Mean of two numbers is 16 and their HCF is 8, what is the difference between the LCM and the HCF of the two numbers?
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Solution 1

To solve this problem, we need to understand a few concepts:

  1. Geometric Mean of two numbers a and b is √(ab).
  2. Highest Common Factor (HCF) is the greatest number that divides both numbers.
  3. Least Common Multiple (LCM) is the smallest common multiple of both numbers.

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