GCD of 431, 674, 204 Calculator

Given Input numbers are 431, 674, 204

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

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 431, 674, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 674, 204 is 1.

Therefore, GCD of numbers 431, 674, 204 is 1

Given Input Data is 431, 674, 204

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

Prime Factorization of 431 is 431

Prime Factorization of 674 is 2 x 337

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(431, 674) = 290494

GCD(431, 674) = ( 431 x 674 ) / 290494

GCD(431, 674) = 290494 / 290494

GCD(431, 674) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 431, 674, 204 is 1

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1. What is the GCD of 431, 674, 204?

GCD of 431, 674, 204 is 1

2. Where do I get the detailed procedure to find GCD of 431, 674, 204?

You can find a detailed procedure to find GCD of 431, 674, 204 on our page.

3. How to find GCD of 431, 674, 204 on a calculator?

You can find the GCD of 431, 674, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.