Multiple choice

The HCF of two numbers is 65. If one number is 325 and the LCM is 975, find the other number.

  1. 11

  2. 195

  3. 360

  4. 559

  5. 748
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B Correct answer
Explanation

HCF * LCM = Product of two numbers. 65 * 975 = 325 * x. x = (65 * 975) / 325 = 195.

AI explanation

Use the identity that the product of two numbers equals the product of their highest common factor and least common multiple. Substituting the values gives 325 multiplied by the other number equals 65 multiplied by 975. Solving this yields the other number as 63375 divided by 325, which is 195. The result is 195.

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