GCD of 338, 596, 731 Calculator

Given Input numbers are 338, 596, 731

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 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 338, 596, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 596, 731 is 1.

Therefore, GCD of numbers 338, 596, 731 is 1

Given Input Data is 338, 596, 731

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 596 is 2 x 2 x 149

Prime Factorization of 731 is 17 x 43

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, 596) = 100724

GCD(338, 596) = ( 338 x 596 ) / 100724

GCD(338, 596) = 201448 / 100724

GCD(338, 596) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 731

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

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

GCD(2, 731) = 1462 / 1462

GCD(2, 731) = 1

GCD of 338, 596, 731 is 1

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• GCD of 712, 896, 767
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1. What is the GCD of 338, 596, 731?

GCD of 338, 596, 731 is 1

2. Where do I get the detailed procedure to find GCD of 338, 596, 731?

You can find a detailed procedure to find GCD of 338, 596, 731 on our page.

3. How to find GCD of 338, 596, 731 on a calculator?

You can find the GCD of 338, 596, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.