HCF & LCM · Question 22 · Medium

What is the greatest number that divides 1402 and 1914 leaving remainders 5 and 9 respectively?

  1. 254
  2. 381
  3. 63
  4. 127
Answer and explanation

Answer: D. 127

Explanation: The number must divide 1402 − 5 = 1397 and 1914 − 9 = 1905 exactly. 1397 = 127 × 11 and 1905 = 127 × 15, so HCF = 127.

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