GCD of 827, 297, 20, 379 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 827, 297, 20, 379 i.e. 1 largest integer that divides all the numbers equally.

GCD of 827, 297, 20, 379 is 1

GCD(827, 297, 20, 379) = 1

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

GCD of

GCD of numbers 827, 297, 20, 379 is 1

GCD(827, 297, 20, 379) = 1

GCD of 827,297,20,379 Calculator

GCDof 827,297,20,379 is 1

Given Input numbers are 827, 297, 20, 379

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 827, 297, 20, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 297, 20, 379 is 1.

Therefore, GCD of numbers 827, 297, 20, 379 is 1

Finding GCD of 827, 297, 20, 379 using Prime Factorization

Given Input Data is 827, 297, 20, 379

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

Prime Factorization of 827 is 827

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 379 is 379

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

Finding GCD of 827, 297, 20, 379 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(827, 297) = 245619

GCD(827, 297) = ( 827 x 297 ) / 245619

GCD(827, 297) = 245619 / 245619

GCD(827, 297) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 379

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

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

GCD(1, 379) = 379 / 379

GCD(1, 379) = 1

GCD of 827, 297, 20, 379 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 827, 297, 20, 379

1. What is the GCD of 827, 297, 20, 379?

GCD of 827, 297, 20, 379 is 1


2. Where do I get the detailed procedure to find GCD of 827, 297, 20, 379?

You can find a detailed procedure to find GCD of 827, 297, 20, 379 on our page.


3. How to find GCD of 827, 297, 20, 379 on a calculator?

You can find the GCD of 827, 297, 20, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.