GCD of 217, 931, 204 Calculator

Given Input numbers are 217, 931, 204

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

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

Greatest Common Divisior

We found the divisors of 217, 931, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 931, 204 is 1.

Therefore, GCD of numbers 217, 931, 204 is 1

Given Input Data is 217, 931, 204

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 931 is 7 x 7 x 19

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

The above numbers do not have any common prime factor. So GCD is 1

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(217, 931) = 28861

GCD(217, 931) = ( 217 x 931 ) / 28861

GCD(217, 931) = 202027 / 28861

GCD(217, 931) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 204

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

LCM(7, 204) = 1428

GCD(7, 204) = ( 7 x 204 ) / 1428

GCD(7, 204) = 1428 / 1428

GCD(7, 204) = 1

GCD of 217, 931, 204 is 1

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1. What is the GCD of 217, 931, 204?

GCD of 217, 931, 204 is 1

2. Where do I get the detailed procedure to find GCD of 217, 931, 204?

You can find a detailed procedure to find GCD of 217, 931, 204 on our page.

3. How to find GCD of 217, 931, 204 on a calculator?

You can find the GCD of 217, 931, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.