GCD of 728, 808, 321 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 728, 808, 321 i.e. 1 largest integer that divides all the numbers equally.

GCD of 728, 808, 321 is 1

GCD(728, 808, 321) = 1

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

GCD of

GCD of numbers 728, 808, 321 is 1

GCD(728, 808, 321) = 1

GCD of 728,808,321 Calculator

GCDof 728,808,321 is 1

Given Input numbers are 728, 808, 321

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 728, 808, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 808, 321 is 1.

Therefore, GCD of numbers 728, 808, 321 is 1

Finding GCD of 728, 808, 321 using Prime Factorization

Given Input Data is 728, 808, 321

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 321 is 3 x 107

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

Finding GCD of 728, 808, 321 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(728, 808) = 73528

GCD(728, 808) = ( 728 x 808 ) / 73528

GCD(728, 808) = 588224 / 73528

GCD(728, 808) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 321

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

LCM(8, 321) = 2568

GCD(8, 321) = ( 8 x 321 ) / 2568

GCD(8, 321) = 2568 / 2568

GCD(8, 321) = 1

GCD of 728, 808, 321 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 728, 808, 321

1. What is the GCD of 728, 808, 321?

GCD of 728, 808, 321 is 1


2. Where do I get the detailed procedure to find GCD of 728, 808, 321?

You can find a detailed procedure to find GCD of 728, 808, 321 on our page.


3. How to find GCD of 728, 808, 321 on a calculator?

You can find the GCD of 728, 808, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.