GCD of 872, 604, 821, 428 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 872, 604, 821, 428 i.e. 1 largest integer that divides all the numbers equally.

GCD of 872, 604, 821, 428 is 1

GCD(872, 604, 821, 428) = 1

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

GCD of

GCD of numbers 872, 604, 821, 428 is 1

GCD(872, 604, 821, 428) = 1

GCD of 872,604,821,428 Calculator

GCDof 872,604,821,428 is 1

Given Input numbers are 872, 604, 821, 428

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

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

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 872, 604, 821, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 604, 821, 428 is 1.

Therefore, GCD of numbers 872, 604, 821, 428 is 1

Finding GCD of 872, 604, 821, 428 using Prime Factorization

Given Input Data is 872, 604, 821, 428

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 821 is 821

Prime Factorization of 428 is 2 x 2 x 107

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

Finding GCD of 872, 604, 821, 428 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(872, 604) = 131672

GCD(872, 604) = ( 872 x 604 ) / 131672

GCD(872, 604) = 526688 / 131672

GCD(872, 604) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 821

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

LCM(4, 821) = 3284

GCD(4, 821) = ( 4 x 821 ) / 3284

GCD(4, 821) = 3284 / 3284

GCD(4, 821) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 872, 604, 821, 428 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 872, 604, 821, 428

1. What is the GCD of 872, 604, 821, 428?

GCD of 872, 604, 821, 428 is 1


2. Where do I get the detailed procedure to find GCD of 872, 604, 821, 428?

You can find a detailed procedure to find GCD of 872, 604, 821, 428 on our page.


3. How to find GCD of 872, 604, 821, 428 on a calculator?

You can find the GCD of 872, 604, 821, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.