Multiple choice

The HCF of two numbers is 37 and their LCM is 1517. If one of the numbers is 37, then the other number is

  1. 37

  2. 1517

  3. 56129

  4. 1369
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B Correct answer
Explanation

The product of two numbers is equal to the product of their HCF and LCM. Given HCF=37, LCM=1517, and one number=37, the other number is (37 * 1517) / 37 = 1517.

AI explanation

Using the fundamental identity that the product of two numbers equals their highest common factor multiplied by their least common multiple, we set up the equation 37 times the unknown number equals 37 times 1517. Dividing both sides by 37 leaves the unknown number as 1517. The other number is 1517.

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