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GCD of 368, 516, 872 Calculator

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


Online GCD Calculator is useful to find the GCD of 368, 516, 872 quickly. Get the easiest ways to solve the greatest common divisor of 368, 516, 872 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 368, 516, 872 with Factoring?

Given Input numbers are 368, 516, 872

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

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872


GCD of numbers is the greatest common divisor

So, the GCD (368, 516, 872) = 4.

Find GCD of 368, 516, 872 using Prime Factorization

Given numbers are 368, 516, 872

The list of prime factors of all numbers are

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 22

Therefore, GCD of 368, 516, 872 is 4.

Steps to Calculate GCD of 368, 516, 872 using LCM Formula

Given numbers are 368, 516, 872

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

Apply this formula for all numbers.

Step1:

LCM(368, 516) = 47472

GCD(368, 516) = ( 368 x 516 ) / 47472

= 368 / 516

= 368


Step2:

LCM(4, 872) = 872

GCD(4, 872) = ( 4 x 872 ) / 872

= 4 / 872

= 4


So, Greatest Common Divisor of 368, 516, 872 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 368, 516, 872

Given numbers are 368, 516, 872
The greatest common divisor of numbers 368, 516, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 516, 872 is 4.

FAQs on GCD of 368, 516, 872 Calculator

1. What is the GCD of 368, 516, 872?

GCD of given numbers 368, 516, 872 is 4


2. How to calculate the greatest common divisor of 368, 516, 872?

We can find the highest common divisor of 368, 516, 872 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 368, 516, 872 i.e 4.


3. How can I use the GCD of 368, 516, 872Calculator?

Out the numbers 368, 516, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.