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1. The greatest number which can divide 1356, 1868 and 2764, leaving the same remainder 12 in each case, is:

  • A. 64
  • B. 64
  • C. 64
  • D. 64

Answer: Option A

Explanation:

Here, the required number will be the HCF of (1356-12), (1868-12) and (2764 - 12)

HCF of (1356-12), (1868-12) and (2764 - 12) = HCF of 1344, 1856 and 2752 = 64

∴ The greatest number which can divide 1356, 1868 and 2764 leaving the same remainder 12 in each case is 64.


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