GCD of 307, 249, 39, 355 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 307, 249, 39, 355 i.e. 1 largest integer that divides all the numbers equally.

GCD of 307, 249, 39, 355 is 1

GCD(307, 249, 39, 355) = 1

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

GCD of

GCD of numbers 307, 249, 39, 355 is 1

GCD(307, 249, 39, 355) = 1

GCD of 307,249,39,355 Calculator

GCDof 307,249,39,355 is 1

Given Input numbers are 307, 249, 39, 355

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 307, 249, 39, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 249, 39, 355 is 1.

Therefore, GCD of numbers 307, 249, 39, 355 is 1

Finding GCD of 307, 249, 39, 355 using Prime Factorization

Given Input Data is 307, 249, 39, 355

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

Prime Factorization of 307 is 307

Prime Factorization of 249 is 3 x 83

Prime Factorization of 39 is 3 x 13

Prime Factorization of 355 is 5 x 71

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

Finding GCD of 307, 249, 39, 355 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(307, 249) = 76443

GCD(307, 249) = ( 307 x 249 ) / 76443

GCD(307, 249) = 76443 / 76443

GCD(307, 249) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 307, 249, 39, 355 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 307, 249, 39, 355

1. What is the GCD of 307, 249, 39, 355?

GCD of 307, 249, 39, 355 is 1


2. Where do I get the detailed procedure to find GCD of 307, 249, 39, 355?

You can find a detailed procedure to find GCD of 307, 249, 39, 355 on our page.


3. How to find GCD of 307, 249, 39, 355 on a calculator?

You can find the GCD of 307, 249, 39, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.