GCD of 271, 369, 89, 399 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 271, 369, 89, 399 i.e. 1 largest integer that divides all the numbers equally.

GCD of 271, 369, 89, 399 is 1

GCD(271, 369, 89, 399) = 1

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

GCD of

GCD of numbers 271, 369, 89, 399 is 1

GCD(271, 369, 89, 399) = 1

GCD of 271,369,89,399 Calculator

GCDof 271,369,89,399 is 1

Given Input numbers are 271, 369, 89, 399

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 369

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

1, 3, 9, 41, 123, 369

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 271, 369, 89, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 369, 89, 399 is 1.

Therefore, GCD of numbers 271, 369, 89, 399 is 1

Finding GCD of 271, 369, 89, 399 using Prime Factorization

Given Input Data is 271, 369, 89, 399

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

Prime Factorization of 271 is 271

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 89 is 89

Prime Factorization of 399 is 3 x 7 x 19

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

Finding GCD of 271, 369, 89, 399 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(271, 369) = 99999

GCD(271, 369) = ( 271 x 369 ) / 99999

GCD(271, 369) = 99999 / 99999

GCD(271, 369) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 399

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

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

GCD(1, 399) = 399 / 399

GCD(1, 399) = 1

GCD of 271, 369, 89, 399 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 271, 369, 89, 399

1. What is the GCD of 271, 369, 89, 399?

GCD of 271, 369, 89, 399 is 1


2. Where do I get the detailed procedure to find GCD of 271, 369, 89, 399?

You can find a detailed procedure to find GCD of 271, 369, 89, 399 on our page.


3. How to find GCD of 271, 369, 89, 399 on a calculator?

You can find the GCD of 271, 369, 89, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.