GCD of 873, 891, 321, 703 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 873, 891, 321, 703 i.e. 1 largest integer that divides all the numbers equally.

GCD of 873, 891, 321, 703 is 1

GCD(873, 891, 321, 703) = 1

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

GCD of

GCD of numbers 873, 891, 321, 703 is 1

GCD(873, 891, 321, 703) = 1

GCD of 873,891,321,703 Calculator

GCDof 873,891,321,703 is 1

Given Input numbers are 873, 891, 321, 703

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

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 321

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

1, 3, 107, 321

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 873, 891, 321, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 891, 321, 703 is 1.

Therefore, GCD of numbers 873, 891, 321, 703 is 1

Finding GCD of 873, 891, 321, 703 using Prime Factorization

Given Input Data is 873, 891, 321, 703

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

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 321 is 3 x 107

Prime Factorization of 703 is 19 x 37

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

Finding GCD of 873, 891, 321, 703 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(873, 891) = 86427

GCD(873, 891) = ( 873 x 891 ) / 86427

GCD(873, 891) = 777843 / 86427

GCD(873, 891) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 321

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

LCM(9, 321) = 963

GCD(9, 321) = ( 9 x 321 ) / 963

GCD(9, 321) = 2889 / 963

GCD(9, 321) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 703

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

LCM(3, 703) = 2109

GCD(3, 703) = ( 3 x 703 ) / 2109

GCD(3, 703) = 2109 / 2109

GCD(3, 703) = 1

GCD of 873, 891, 321, 703 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 873, 891, 321, 703

1. What is the GCD of 873, 891, 321, 703?

GCD of 873, 891, 321, 703 is 1


2. Where do I get the detailed procedure to find GCD of 873, 891, 321, 703?

You can find a detailed procedure to find GCD of 873, 891, 321, 703 on our page.


3. How to find GCD of 873, 891, 321, 703 on a calculator?

You can find the GCD of 873, 891, 321, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.