GCD of 204, 681, 957 Calculator

Given Input numbers are 204, 681, 957

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Greatest Common Divisior

We found the divisors of 204, 681, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 681, 957 is 3.

Therefore, GCD of numbers 204, 681, 957 is 3

Given Input Data is 204, 681, 957

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 681 is 3 x 227

Prime Factorization of 957 is 3 x 11 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(204, 681) = 46308

GCD(204, 681) = ( 204 x 681 ) / 46308

GCD(204, 681) = 138924 / 46308

GCD(204, 681) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 957

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 957) = 957

GCD(3, 957) = ( 3 x 957 ) / 957

GCD(3, 957) = 2871 / 957

GCD(3, 957) = 3

GCD of 204, 681, 957 is 3

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1. What is the GCD of 204, 681, 957?

GCD of 204, 681, 957 is 3

2. Where do I get the detailed procedure to find GCD of 204, 681, 957?

You can find a detailed procedure to find GCD of 204, 681, 957 on our page.

3. How to find GCD of 204, 681, 957 on a calculator?

You can find the GCD of 204, 681, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.