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GCD of 579, 204, 351 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 579, 204, 351 quickly. Get the easiest ways to solve the greatest common divisor of 579, 204, 351 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 579, 204, 351 with Factoring?

Given Input numbers are 579, 204, 351

In the factoring method, we have to find the divisors of all numbers

Divisors of 579 :

The positive integer divisors of 579 that completely divides 579 are.

1, 3, 193, 579

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351


GCD of numbers is the greatest common divisor

So, the GCD (579, 204, 351) = 3.

Find GCD of 579, 204, 351 using Prime Factorization

Given numbers are 579, 204, 351

The list of prime factors of all numbers are

Prime factors of 579 are 3 x 193

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 351 are 3 x 3 x 3 x 13

The highest common occurrence is 31

Therefore, GCD of 579, 204, 351 is 3.

Steps to Calculate GCD of 579, 204, 351 using LCM Formula

Given numbers are 579, 204, 351

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(579, 204) = 39372

GCD(579, 204) = ( 579 x 204 ) / 39372

= 579 / 204

= 579


Step2:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3


So, Greatest Common Divisor of 579, 204, 351 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 579, 204, 351

Given numbers are 579, 204, 351
The greatest common divisor of numbers 579, 204, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 579, 204, 351 is 3.

FAQs on GCD of 579, 204, 351 Calculator

1. What is the GCD of 579, 204, 351?

GCD of given numbers 579, 204, 351 is 3


2. How to calculate the greatest common divisor of 579, 204, 351?

We can find the highest common divisor of 579, 204, 351 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 579, 204, 351 i.e 3.


3. How can I use the GCD of 579, 204, 351Calculator?

Out the numbers 579, 204, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.