GCD of 538, 674, 188, 831 Calculator

Given Input numbers are 538, 674, 188, 831

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 674

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

1, 2, 337, 674

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 538, 674, 188, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 674, 188, 831 is 1.

Therefore, GCD of numbers 538, 674, 188, 831 is 1

Given Input Data is 538, 674, 188, 831

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 674 is 2 x 337

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 831 is 3 x 277

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(538, 674) = 181306

GCD(538, 674) = ( 538 x 674 ) / 181306

GCD(538, 674) = 362612 / 181306

GCD(538, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 188

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

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

GCD(2, 188) = 376 / 188

GCD(2, 188) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 831

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

LCM(2, 831) = 1662

GCD(2, 831) = ( 2 x 831 ) / 1662

GCD(2, 831) = 1662 / 1662

GCD(2, 831) = 1

GCD of 538, 674, 188, 831 is 1

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1. What is the GCD of 538, 674, 188, 831?

GCD of 538, 674, 188, 831 is 1

2. Where do I get the detailed procedure to find GCD of 538, 674, 188, 831?

You can find a detailed procedure to find GCD of 538, 674, 188, 831 on our page.

3. How to find GCD of 538, 674, 188, 831 on a calculator?

You can find the GCD of 538, 674, 188, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.