The greatest number that will divided 187, 233 and 279 leaving the same remainder in each case is

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1. The greatest number that will divide 187, 233 and 279 leaving the same remainder in each case.

   To find : The number ?

   Solution :

   First we find the difference between these numbers.

   The required numbers are

   233-187=46

   279-233=46

   279-187=92

   Now, We find the HCF of 46 and 92.

   Therefore, The required largest number is 46.

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