GCD of 369, 339, 592 Calculator

Given Input numbers are 369, 339, 592

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Greatest Common Divisior

We found the divisors of 369, 339, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 339, 592 is 1.

Therefore, GCD of numbers 369, 339, 592 is 1

Given Input Data is 369, 339, 592

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 339 is 3 x 113

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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(369, 339) = 41697

GCD(369, 339) = ( 369 x 339 ) / 41697

GCD(369, 339) = 125091 / 41697

GCD(369, 339) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 592

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

LCM(3, 592) = 1776

GCD(3, 592) = ( 3 x 592 ) / 1776

GCD(3, 592) = 1776 / 1776

GCD(3, 592) = 1

GCD of 369, 339, 592 is 1

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1. What is the GCD of 369, 339, 592?

GCD of 369, 339, 592 is 1

2. Where do I get the detailed procedure to find GCD of 369, 339, 592?

You can find a detailed procedure to find GCD of 369, 339, 592 on our page.

3. How to find GCD of 369, 339, 592 on a calculator?

You can find the GCD of 369, 339, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.