Question

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

Answer 1

34255   = 5 * 13 * 17 * 31
203515 = 5 * 13 * 31 * 101

So GCD(34255, 203515) = 5 * 13 * 31 = 2015

Answer 2

The greatest common divisor (GCD) of 34255 and 203515 is 2015.

How to find Greatest common divisor?

The greatest common divisor, as the name implies, is the greatest among all common factors among the quantities given.

We can factorize the quantities in the smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could.

Those will together compose GCD(Greatest common divisor ).

The greatest common Divisor

34255   = 5 x 13 x 17 x 31

203515 = 5 x 13 x 31 x 101

So, GCD (34255, 203515) = 5 x 13 x 31

GCD (34255, 203515) = 2015

Hence, the greatest common divisor (GCD) of 34255 and 203515 is 2015.

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