Multiple choice

The HCF of two numbers each consisting of $4$ digits is $103$ and their LCM is $19261.$ The numbers are

  1. $1133, 1751$
  2. $1053, 1657$
  3. $1061, 1111$
  4. $1591, 1377$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The product of two numbers equals the product of their HCF and LCM. Here, 103 * 19261 = 1983883. Checking the options, 1133 * 1751 = 1983883. Both numbers are 4 digits and their HCF is indeed 103.

AI explanation

The product of the two numbers equals the product of their highest common factor and least common multiple, which is 103 times 19261, or 1983883. For option A, multiplying 1133 and 1751 gives 1983883. Additionally, both 1133 (which is 103 times 11) and 1751 (which is 103 times 17) are exactly divisible by 103, confirming these are the correct numbers.

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