To find the greatest number which on dividing 2434 and 3075 leaves remainder 2 and 3 respectively, we need to find the greatest common divisor (GCD) of (2434-2) and (3075-3).

Step 1: Subtract the remainders from the given numbers
2434 - 2 = 2432
3075 - 3 = 3072

Step 2: Find the GCD of 2432 and 3072
The GCD of 2432 and 3072 is 640.

So, the greatest number which on dividing 2434 and 3075 leaves remainder 2 and 3 respectively is 640.

Question

To find the greatest number which on dividing 2434 and 3075 leaves remainder 2 and 3 respectively, we need to find the greatest common divisor (GCD) of (2434-2) and (3075-3).

Step 1: Subtract the remainders from the given numbers
2434 - 2 = 2432
3075 - 3 = 3072

Step 2: Find the GCD of 2432 and 3072
The GCD of 2432 and 3072 is 640.

So, the greatest number which on dividing 2434 and 3075 leaves remainder 2 and 3 respectively is 640.

Knowee AI · Accepted Answer

To find the greatest number which on dividing 2434 and 3075 leaves remainder 2 and 3 respectively, we need to find the greatest common divisor (GCD) of (2434-2) and (3075-3).

Step 1: Subtract the remainders from the given numbers
2434 - 2 = 2432
3075 - 3 = 3072

Step 2: Find the GCD of 2432 and 3072
The GCD of 2432 and 3072 is 640.

So, the greatest number which on dividing 2434 and 3075 leaves remainder 2 and 3 respectively is 640.

Find the greatest number which on dividing 2434 and 3075 leaves remainder 2 and 3 respectively.

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