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GCD of 216, 879, 813 Calculator

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


Online GCD Calculator is useful to find the GCD of 216, 879, 813 quickly. Get the easiest ways to solve the greatest common divisor of 216, 879, 813 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 216, 879, 813 with Factoring?

Given Input numbers are 216, 879, 813

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 879 :

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

1, 3, 293, 879

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813


GCD of numbers is the greatest common divisor

So, the GCD (216, 879, 813) = 3.

Find GCD of 216, 879, 813 using Prime Factorization

Given numbers are 216, 879, 813

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 879 are 3 x 293

Prime factors of 813 are 3 x 271

The highest common occurrence is 31

Therefore, GCD of 216, 879, 813 is 3.

Steps to Calculate GCD of 216, 879, 813 using LCM Formula

Given numbers are 216, 879, 813

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

Apply this formula for all numbers.

Step1:

LCM(216, 879) = 63288

GCD(216, 879) = ( 216 x 879 ) / 63288

= 216 / 879

= 216


Step2:

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

= 3 / 813

= 3


So, Greatest Common Divisor of 216, 879, 813 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 216, 879, 813

Given numbers are 216, 879, 813
The greatest common divisor of numbers 216, 879, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 879, 813 is 3.

FAQs on GCD of 216, 879, 813 Calculator

1. What is the GCD of 216, 879, 813?

GCD of given numbers 216, 879, 813 is 3


2. How to calculate the greatest common divisor of 216, 879, 813?

We can find the highest common divisor of 216, 879, 813 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 216, 879, 813 i.e 3.


3. How can I use the GCD of 216, 879, 813Calculator?

Out the numbers 216, 879, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.