GCD of 338, 431, 579, 827 Calculator

Given Input numbers are 338, 431, 579, 827

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 431

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

1, 431

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 338, 431, 579, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 431, 579, 827 is 1.

Therefore, GCD of numbers 338, 431, 579, 827 is 1

Given Input Data is 338, 431, 579, 827

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 431 is 431

Prime Factorization of 579 is 3 x 193

Prime Factorization of 827 is 827

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(338, 431) = 145678

GCD(338, 431) = ( 338 x 431 ) / 145678

GCD(338, 431) = 145678 / 145678

GCD(338, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 579

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

LCM(1, 579) = 579

GCD(1, 579) = ( 1 x 579 ) / 579

GCD(1, 579) = 579 / 579

GCD(1, 579) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 338, 431, 579, 827 is 1

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1. What is the GCD of 338, 431, 579, 827?

GCD of 338, 431, 579, 827 is 1

2. Where do I get the detailed procedure to find GCD of 338, 431, 579, 827?

You can find a detailed procedure to find GCD of 338, 431, 579, 827 on our page.

3. How to find GCD of 338, 431, 579, 827 on a calculator?

You can find the GCD of 338, 431, 579, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.