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

Sure, here are the steps to find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case:

Step 1: Find the differences between the pairs of numbers.

• The difference between 91 and 43 is 48.
• The difference between 183 and 91 is 92.
• The difference between 183 and 43 is 140.

Step 2: Find the greatest common divisor (GCD) of these differences.

• The GCD of 48, 92, and 140 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.