GCD of 822, 813, 274 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 822, 813, 274 i.e. 1 largest integer that divides all the numbers equally.

GCD of 822, 813, 274 is 1

GCD(822, 813, 274) = 1

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

GCD of

GCD of numbers 822, 813, 274 is 1

GCD(822, 813, 274) = 1

GCD of 822,813,274 Calculator

GCDof 822,813,274 is 1

Given Input numbers are 822, 813, 274

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 813

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

1, 3, 271, 813

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 822, 813, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 813, 274 is 1.

Therefore, GCD of numbers 822, 813, 274 is 1

Finding GCD of 822, 813, 274 using Prime Factorization

Given Input Data is 822, 813, 274

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 813 is 3 x 271

Prime Factorization of 274 is 2 x 137

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

Finding GCD of 822, 813, 274 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(822, 813) = 222762

GCD(822, 813) = ( 822 x 813 ) / 222762

GCD(822, 813) = 668286 / 222762

GCD(822, 813) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 274

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

LCM(3, 274) = 822

GCD(3, 274) = ( 3 x 274 ) / 822

GCD(3, 274) = 822 / 822

GCD(3, 274) = 1

GCD of 822, 813, 274 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 822, 813, 274

1. What is the GCD of 822, 813, 274?

GCD of 822, 813, 274 is 1


2. Where do I get the detailed procedure to find GCD of 822, 813, 274?

You can find a detailed procedure to find GCD of 822, 813, 274 on our page.


3. How to find GCD of 822, 813, 274 on a calculator?

You can find the GCD of 822, 813, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.