GCD of 539, 363, 967, 313 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 539, 363, 967, 313 i.e. 1 largest integer that divides all the numbers equally.

GCD of 539, 363, 967, 313 is 1

GCD(539, 363, 967, 313) = 1

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

GCD of

GCD of numbers 539, 363, 967, 313 is 1

GCD(539, 363, 967, 313) = 1

GCD of 539,363,967,313 Calculator

GCDof 539,363,967,313 is 1

Given Input numbers are 539, 363, 967, 313

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

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 363

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

1, 3, 11, 33, 121, 363

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 539, 363, 967, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 539, 363, 967, 313 is 1.

Therefore, GCD of numbers 539, 363, 967, 313 is 1

Finding GCD of 539, 363, 967, 313 using Prime Factorization

Given Input Data is 539, 363, 967, 313

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

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 967 is 967

Prime Factorization of 313 is 313

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

Finding GCD of 539, 363, 967, 313 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(539, 363) = 17787

GCD(539, 363) = ( 539 x 363 ) / 17787

GCD(539, 363) = 195657 / 17787

GCD(539, 363) = 11


Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 967

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

LCM(11, 967) = 10637

GCD(11, 967) = ( 11 x 967 ) / 10637

GCD(11, 967) = 10637 / 10637

GCD(11, 967) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 539, 363, 967, 313 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 539, 363, 967, 313

1. What is the GCD of 539, 363, 967, 313?

GCD of 539, 363, 967, 313 is 1


2. Where do I get the detailed procedure to find GCD of 539, 363, 967, 313?

You can find a detailed procedure to find GCD of 539, 363, 967, 313 on our page.


3. How to find GCD of 539, 363, 967, 313 on a calculator?

You can find the GCD of 539, 363, 967, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.