GCD of 321, 279, 577 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 321, 279, 577 i.e. 1 largest integer that divides all the numbers equally.

GCD of 321, 279, 577 is 1

GCD(321, 279, 577) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 321, 279, 577 is 1

GCD(321, 279, 577) = 1

GCD of 321,279,577 Calculator

GCDof 321,279,577 is 1

Given Input numbers are 321, 279, 577

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 321, 279, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 279, 577 is 1.

Therefore, GCD of numbers 321, 279, 577 is 1

Finding GCD of 321, 279, 577 using Prime Factorization

Given Input Data is 321, 279, 577

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 577 is 577

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 321, 279, 577 using LCM Formula

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(321, 279) = 29853

GCD(321, 279) = ( 321 x 279 ) / 29853

GCD(321, 279) = 89559 / 29853

GCD(321, 279) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 577

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

LCM(3, 577) = 1731

GCD(3, 577) = ( 3 x 577 ) / 1731

GCD(3, 577) = 1731 / 1731

GCD(3, 577) = 1

GCD of 321, 279, 577 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 321, 279, 577

1. What is the GCD of 321, 279, 577?

GCD of 321, 279, 577 is 1

2. Where do I get the detailed procedure to find GCD of 321, 279, 577?

You can find a detailed procedure to find GCD of 321, 279, 577 on our page.

3. How to find GCD of 321, 279, 577 on a calculator?

You can find the GCD of 321, 279, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.