GCD of 804, 302, 323, 729 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 804, 302, 323, 729 i.e. 1 largest integer that divides all the numbers equally.

GCD of 804, 302, 323, 729 is 1

GCD(804, 302, 323, 729) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 804, 302, 323, 729 is 1

GCD(804, 302, 323, 729) = 1

GCD of 804,302,323,729 Calculator

GCDof 804,302,323,729 is 1

Given Input numbers are 804, 302, 323, 729

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 804, 302, 323, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 302, 323, 729 is 1.

Therefore, GCD of numbers 804, 302, 323, 729 is 1

Finding GCD of 804, 302, 323, 729 using Prime Factorization

Given Input Data is 804, 302, 323, 729

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 302 is 2 x 151

Prime Factorization of 323 is 17 x 19

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 804, 302, 323, 729 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(804, 302) = 121404

GCD(804, 302) = ( 804 x 302 ) / 121404

GCD(804, 302) = 242808 / 121404

GCD(804, 302) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 323

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

LCM(2, 323) = 646

GCD(2, 323) = ( 2 x 323 ) / 646

GCD(2, 323) = 646 / 646

GCD(2, 323) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

GCD of 804, 302, 323, 729 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 804, 302, 323, 729

1. What is the GCD of 804, 302, 323, 729?

GCD of 804, 302, 323, 729 is 1


2. Where do I get the detailed procedure to find GCD of 804, 302, 323, 729?

You can find a detailed procedure to find GCD of 804, 302, 323, 729 on our page.


3. How to find GCD of 804, 302, 323, 729 on a calculator?

You can find the GCD of 804, 302, 323, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.