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Find the greatest number that divides 2011 and 2623, leaving remainders 9 and 5 respectively.

Competition practiceNumber System, HCF & LCM
  • A154
  • B77
  • C308
  • D14

Step-by-Step Solution

The number divides 2011 − 9 = 2002 and 2623 − 5 = 2618 exactly. HCF(2002, 2618): 2618 − 2002 = 616, . So it is 154.
Answer: A) 154

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