To find the greatest number which when divided into 169, 289, and 369 gives the same remainder, 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
Difference between 289 and 169 = 289 - 169 = 120
Difference between 369 and 289 = 369 - 289 = 80
Difference between 369 and 169 = 369 - 169 = 200

Step 2: Find the GCD of these differences
The GCD of 120, 80, and 200 is 40.

So, the greatest number which when divided into 169, 289, and 369 gives the same remainder is 40.

Question

To find the greatest number which when divided into 169, 289, and 369 gives the same remainder, 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
Difference between 289 and 169 = 289 - 169 = 120
Difference between 369 and 289 = 369 - 289 = 80
Difference between 369 and 169 = 369 - 169 = 200

Step 2: Find the GCD of these differences
The GCD of 120, 80, and 200 is 40.

So, the greatest number which when divided into 169, 289, and 369 gives the same remainder is 40.

Knowee AI · Accepted Answer

To find the greatest number which when divided into 169, 289, and 369 gives the same remainder, 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
Difference between 289 and 169 = 289 - 169 = 120
Difference between 369 and 289 = 369 - 289 = 80
Difference between 369 and 169 = 369 - 169 = 200

Step 2: Find the GCD of these differences
The GCD of 120, 80, and 200 is 40.

So, the greatest number which when divided into 169, 289, and 369 gives the same remainder is 40.

Find the greatest number which when divided to 169,289 and 369 gives the same remainder.40504535

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