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Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.Options :47913

Question

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.Options :47913

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Solution

The greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case can be found by calculating the differences between the numbers and then finding the greatest common divisor (GCD) of those differences.

Step 1: Calculate the differences 91 - 43 = 48 183 - 91 = 92

Step 2: Find the GCD of 48 and 92 The GCD of 48 and 92 is 4.

So, the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case is 4.

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