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GCD of 504, 326, 304 Calculator

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


Online GCD Calculator is useful to find the GCD of 504, 326, 304 quickly. Get the easiest ways to solve the greatest common divisor of 504, 326, 304 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 504, 326, 304 with Factoring?

Given Input numbers are 504, 326, 304

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304


GCD of numbers is the greatest common divisor

So, the GCD (504, 326, 304) = 2.

Find GCD of 504, 326, 304 using Prime Factorization

Given numbers are 504, 326, 304

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 326 are 2 x 163

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

The highest common occurrence is 21

Therefore, GCD of 504, 326, 304 is 2.

Steps to Calculate GCD of 504, 326, 304 using LCM Formula

Given numbers are 504, 326, 304

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

Apply this formula for all numbers.

Step1:

LCM(504, 326) = 82152

GCD(504, 326) = ( 504 x 326 ) / 82152

= 504 / 326

= 504


Step2:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2


So, Greatest Common Divisor of 504, 326, 304 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 504, 326, 304

Given numbers are 504, 326, 304
The greatest common divisor of numbers 504, 326, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 326, 304 is 2.

FAQs on GCD of 504, 326, 304 Calculator

1. What is the GCD of 504, 326, 304?

GCD of given numbers 504, 326, 304 is 2


2. How to calculate the greatest common divisor of 504, 326, 304?

We can find the highest common divisor of 504, 326, 304 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 504, 326, 304 i.e 2.


3. How can I use the GCD of 504, 326, 304Calculator?

Out the numbers 504, 326, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.