Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively?

3 Answers on this Question

1. 3026-11=3015
   5053-13=5040
   H.C.F=5*3*3=45

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2. 3026-11=3015
   5053-13=5040
   H.C.F=5*3*3=45

   Reply

3. Answer is 45
   First we need to subtract those reminders from the respective numbers, then we have to find the hcf of two numbers(numbers got from the subtraction) then you will get the answer.
   So,
   After subtraction you will get
   3026-11 = 3015
   5053-13 = 5040
   HCF of these two numbers
   5 | 3015 5040
   3 | 603 1008
   3 | 201 336
   | 67 112
   We can’t find a common diviser since 67 is a prime number
   So the HCF = 5 * 3 * 3
   = 45
   5*3*3 = 45

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