Multiple choice

The HCF of two numbers is 11 and their LCM is 693. If one of the numbers is 77, find the other.

  1. 99

  2. 23

  3. 44

  4. 12

  5. 21
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A Correct answer
Explanation

Product of two numbers = HCF * LCM. 77 * x = 11 * 693. x = (11 * 693) / 77 = 693 / 7 = 99.

AI explanation

Using the formula that the product of two numbers equals their highest common factor multiplied by their least common multiple, we set up the equation 77 multiplied by the unknown number equals 11 multiplied by 693. Solving this gives the unknown number as 11 multiplied by 693 divided by 77. Since 693 divided by 7 is 99 and 77 divided by 7 is 11, the result simplifies to 99.

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