Question

Find the greatest common divisor (gcd) of 34255 and 203515.

a) 5
b) 7
c) 11
d) 13

Answer 1

The greatest common divisor (gcd) of 34255 and 203515 is 5.

Step-by-step explanation:

To find the greatest common divisor (gcd) of 34255 and 203515, we can use the Euclidean algorithm. The greatest common divisor (gcd) of 34255 and 203515 is 5. We start by dividing the larger number by the smaller number: 203515 ÷ 34255 = 5 with a remainder of 30940.

Next, we divide the smaller number (34255) by the remainder (30940) and get a quotient of 1 with a remainder of 3315. We continue dividing until we get a remainder of 0. The last nonzero remainder is the greatest common divisor: gcd(34255, 203515) = 5.