GCD of 363, 337, 71, 286 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 363, 337, 71, 286 i.e. 1 largest integer that divides all the numbers equally.

GCD of 363, 337, 71, 286 is 1

GCD(363, 337, 71, 286) = 1

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

GCD of

GCD of numbers 363, 337, 71, 286 is 1

GCD(363, 337, 71, 286) = 1

GCD of 363,337,71,286 Calculator

GCDof 363,337,71,286 is 1

Given Input numbers are 363, 337, 71, 286

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 363, 337, 71, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 337, 71, 286 is 1.

Therefore, GCD of numbers 363, 337, 71, 286 is 1

Finding GCD of 363, 337, 71, 286 using Prime Factorization

Given Input Data is 363, 337, 71, 286

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 337 is 337

Prime Factorization of 71 is 71

Prime Factorization of 286 is 2 x 11 x 13

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

Finding GCD of 363, 337, 71, 286 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(363, 337) = 122331

GCD(363, 337) = ( 363 x 337 ) / 122331

GCD(363, 337) = 122331 / 122331

GCD(363, 337) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 363, 337, 71, 286 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 363, 337, 71, 286

1. What is the GCD of 363, 337, 71, 286?

GCD of 363, 337, 71, 286 is 1


2. Where do I get the detailed procedure to find GCD of 363, 337, 71, 286?

You can find a detailed procedure to find GCD of 363, 337, 71, 286 on our page.


3. How to find GCD of 363, 337, 71, 286 on a calculator?

You can find the GCD of 363, 337, 71, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.