Question

Compute gcd of 294,343 and 878,568.

Answer 1

To compute the greatest common divisor (gcd) of 294,343 and 878,568, we can use the Euclidean algorithm.

First, we divide 878,568 by 294,343 to get the remainder:

878,568 = 2 * 294,343 + 289,882

Next, we divide 294,343 by the remainder 289,882:

294,343 = 1 * 289,882 + 4,461

Then, we divide the remainder 289,882 by 4,461:

289,882 = 65 * 4,461 + 1,717

Continuing with the Euclidean algorithm:

4,461 = 2 * 1,717 + 1,027

1,717 = 1 * 1,027 + 690

1,027 = 1 * 690 + 337

690 = 2 * 337 + 16

337 = 21 * 16 + 1

Finally, we have reached a remainder of 1, so the gcd of 294,343 and 878,568 is 1.