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GCD of 351, 567, 879 Calculator

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


Online GCD Calculator is useful to find the GCD of 351, 567, 879 quickly. Get the easiest ways to solve the greatest common divisor of 351, 567, 879 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 351, 567, 879 with Factoring?

Given Input numbers are 351, 567, 879

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

Divisors of 351 :

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

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879


GCD of numbers is the greatest common divisor

So, the GCD (351, 567, 879) = 3.

Find GCD of 351, 567, 879 using Prime Factorization

Given numbers are 351, 567, 879

The list of prime factors of all numbers are

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

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 879 are 3 x 293

The highest common occurrence is 31

Therefore, GCD of 351, 567, 879 is 3.

Steps to Calculate GCD of 351, 567, 879 using LCM Formula

Given numbers are 351, 567, 879

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

Apply this formula for all numbers.

Step1:

LCM(351, 567) = 7371

GCD(351, 567) = ( 351 x 567 ) / 7371

= 351 / 567

= 351


Step2:

LCM(27, 879) = 7911

GCD(27, 879) = ( 27 x 879 ) / 7911

= 27 / 879

= 27


So, Greatest Common Divisor of 351, 567, 879 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 351, 567, 879

Given numbers are 351, 567, 879
The greatest common divisor of numbers 351, 567, 879 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 567, 879 is 3.

FAQs on GCD of 351, 567, 879 Calculator

1. What is the GCD of 351, 567, 879?

GCD of given numbers 351, 567, 879 is 3


2. How to calculate the greatest common divisor of 351, 567, 879?

We can find the highest common divisor of 351, 567, 879 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 351, 567, 879 i.e 3.


3. How can I use the GCD of 351, 567, 879Calculator?

Out the numbers 351, 567, 879 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.