GCD of 323, 813, 800, 842 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 323, 813, 800, 842 i.e. 1 largest integer that divides all the numbers equally.

GCD of 323, 813, 800, 842 is 1

GCD(323, 813, 800, 842) = 1

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

GCD of

GCD of numbers 323, 813, 800, 842 is 1

GCD(323, 813, 800, 842) = 1

GCD of 323,813,800,842 Calculator

GCDof 323,813,800,842 is 1

Given Input numbers are 323, 813, 800, 842

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

Divisors of 323

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

1, 17, 19, 323

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 323, 813, 800, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 813, 800, 842 is 1.

Therefore, GCD of numbers 323, 813, 800, 842 is 1

Finding GCD of 323, 813, 800, 842 using Prime Factorization

Given Input Data is 323, 813, 800, 842

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 813 is 3 x 271

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 842 is 2 x 421

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

Finding GCD of 323, 813, 800, 842 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(323, 813) = 262599

GCD(323, 813) = ( 323 x 813 ) / 262599

GCD(323, 813) = 262599 / 262599

GCD(323, 813) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 323, 813, 800, 842 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 323, 813, 800, 842

1. What is the GCD of 323, 813, 800, 842?

GCD of 323, 813, 800, 842 is 1


2. Where do I get the detailed procedure to find GCD of 323, 813, 800, 842?

You can find a detailed procedure to find GCD of 323, 813, 800, 842 on our page.


3. How to find GCD of 323, 813, 800, 842 on a calculator?

You can find the GCD of 323, 813, 800, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.