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Find the H.C.F of 204, 1190 and 1445?

Correct answer: B. 17

  • A. 34
  • B. 17
  • C. 85
  • D. 204

Explanation

Using the Euclidean algorithm, gcd(204, 1190) = gcd(204, 170) = 34, and gcd(34, 1445) = 17. Therefore the HCF of all three numbers is 17. The likely distractor is 34, which divides the first two numbers but does not divide 1445.

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