GCD of 822, 188, 369, 677 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, 188, 369, 677 i.e. 1 largest integer that divides all the numbers equally.

GCD of 822, 188, 369, 677 is 1

GCD(822, 188, 369, 677) = 1

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

GCD of

GCD of numbers 822, 188, 369, 677 is 1

GCD(822, 188, 369, 677) = 1

GCD of 822,188,369,677 Calculator

GCDof 822,188,369,677 is 1

Given Input numbers are 822, 188, 369, 677

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 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 822, 188, 369, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 188, 369, 677 is 1.

Therefore, GCD of numbers 822, 188, 369, 677 is 1

Finding GCD of 822, 188, 369, 677 using Prime Factorization

Given Input Data is 822, 188, 369, 677

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 188 is 2 x 2 x 47

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 677 is 677

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

Finding GCD of 822, 188, 369, 677 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, 188) = 77268

GCD(822, 188) = ( 822 x 188 ) / 77268

GCD(822, 188) = 154536 / 77268

GCD(822, 188) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 369

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

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

GCD(2, 369) = 738 / 738

GCD(2, 369) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 822, 188, 369, 677 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 822, 188, 369, 677

1. What is the GCD of 822, 188, 369, 677?

GCD of 822, 188, 369, 677 is 1


2. Where do I get the detailed procedure to find GCD of 822, 188, 369, 677?

You can find a detailed procedure to find GCD of 822, 188, 369, 677 on our page.


3. How to find GCD of 822, 188, 369, 677 on a calculator?

You can find the GCD of 822, 188, 369, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.