To find the greatest number that will divide 215, 167, and 135 leaving the same remainder in each case, we need to find the difference between these numbers and then find the greatest common divisor (GCD) of these differences.

Step 1: Find the differences
215 - 167 = 48
167 - 135 = 32

Step 2: Find the GCD of these differences
The GCD of 48 and 32 is 16.

So, the greatest number that will divide 215, 167, and 135 leaving the same remainder in each case is 16.

Question

To find the greatest number that will divide 215, 167, and 135 leaving the same remainder in each case, we need to find the difference between these numbers and then find the greatest common divisor (GCD) of these differences.

Step 1: Find the differences
215 - 167 = 48
167 - 135 = 32

Step 2: Find the GCD of these differences
The GCD of 48 and 32 is 16.

So, the greatest number that will divide 215, 167, and 135 leaving the same remainder in each case is 16.

Knowee AI · Accepted Answer

To find the greatest number that will divide 215, 167, and 135 leaving the same remainder in each case, we need to find the difference between these numbers and then find the greatest common divisor (GCD) of these differences.

Step 1: Find the differences
215 - 167 = 48
167 - 135 = 32

Step 2: Find the GCD of these differences
The GCD of 48 and 32 is 16.

So, the greatest number that will divide 215, 167, and 135 leaving the same remainder in each case is 16.

Find the greatest number, which will divide 215, 167 and 135 so as to leave the same remainder in each caseOptions64191816

Question

Solution

Similar Questions

Upgrade your grade with Knowee