Multiple choice

The HCF of two numbers is 4 and their LCM is 576. If one of the numbers is 64, find the other number.

  1. 35

  2. 36

  3. 37

  4. 38
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B Correct answer
Explanation

HCF * LCM = Product of two numbers. 4 * 576 = 64 * x. x = (4 * 576) / 64 = 576 / 16 = 36.

AI explanation

Use the fundamental relation that the product of two numbers equals the product of their highest common factor (HCF) and least common multiple (LCM). We have 4 times 576 equals 64 times the other number. Solving 2304 divided by 64 gives the other number as 36. The other number is 36.

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