GCD of 77, 387, 339, 822 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 77, 387, 339, 822 i.e. 1 largest integer that divides all the numbers equally.

GCD of 77, 387, 339, 822 is 1

GCD(77, 387, 339, 822) = 1

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

GCD of

GCD of numbers 77, 387, 339, 822 is 1

GCD(77, 387, 339, 822) = 1

GCD of 77,387,339,822 Calculator

GCDof 77,387,339,822 is 1

Given Input numbers are 77, 387, 339, 822

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 822

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

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

Greatest Common Divisior

We found the divisors of 77, 387, 339, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 387, 339, 822 is 1.

Therefore, GCD of numbers 77, 387, 339, 822 is 1

Finding GCD of 77, 387, 339, 822 using Prime Factorization

Given Input Data is 77, 387, 339, 822

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 339 is 3 x 113

Prime Factorization of 822 is 2 x 3 x 137

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

Finding GCD of 77, 387, 339, 822 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(77, 387) = 29799

GCD(77, 387) = ( 77 x 387 ) / 29799

GCD(77, 387) = 29799 / 29799

GCD(77, 387) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 77, 387, 339, 822 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 77, 387, 339, 822

1. What is the GCD of 77, 387, 339, 822?

GCD of 77, 387, 339, 822 is 1


2. Where do I get the detailed procedure to find GCD of 77, 387, 339, 822?

You can find a detailed procedure to find GCD of 77, 387, 339, 822 on our page.


3. How to find GCD of 77, 387, 339, 822 on a calculator?

You can find the GCD of 77, 387, 339, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.