GCD of 822, 393, 538 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, 393, 538 i.e. 1 largest integer that divides all the numbers equally.

GCD of 822, 393, 538 is 1

GCD(822, 393, 538) = 1

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

GCD of

GCD of numbers 822, 393, 538 is 1

GCD(822, 393, 538) = 1

GCD of 822,393,538 Calculator

GCDof 822,393,538 is 1

Given Input numbers are 822, 393, 538

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 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 822, 393, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 393, 538 is 1.

Therefore, GCD of numbers 822, 393, 538 is 1

Finding GCD of 822, 393, 538 using Prime Factorization

Given Input Data is 822, 393, 538

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 393 is 3 x 131

Prime Factorization of 538 is 2 x 269

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

Finding GCD of 822, 393, 538 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, 393) = 107682

GCD(822, 393) = ( 822 x 393 ) / 107682

GCD(822, 393) = 323046 / 107682

GCD(822, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 538

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

LCM(3, 538) = 1614

GCD(3, 538) = ( 3 x 538 ) / 1614

GCD(3, 538) = 1614 / 1614

GCD(3, 538) = 1

GCD of 822, 393, 538 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 822, 393, 538

1. What is the GCD of 822, 393, 538?

GCD of 822, 393, 538 is 1

2. Where do I get the detailed procedure to find GCD of 822, 393, 538?

You can find a detailed procedure to find GCD of 822, 393, 538 on our page.

3. How to find GCD of 822, 393, 538 on a calculator?

You can find the GCD of 822, 393, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.