Multiple choice

The HCF of two numbers is 14 and their LCM is 420. If one of the numbers is 70, then the other number is

  1. 84

  2. 420

  3. 14

  4. 56

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A Correct answer
Explanation

The product of two numbers is equal to the product of their HCF and LCM. Thus, 70 * x = 14 * 420. Solving for x gives x = (14 * 420) / 70 = 84.

AI explanation

The product of two numbers is equal to the product of their highest common factor and least common multiple. We multiply the given values 14 and 420 to get 5880. We then divide this product by the known number 70 to find the other number, which is 5880 divided by 70 equals 84. The result is 84.