GCD of 596, 398, 272, 315 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 596, 398, 272, 315 i.e. 1 largest integer that divides all the numbers equally.

GCD of 596, 398, 272, 315 is 1

GCD(596, 398, 272, 315) = 1

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

GCD of

GCD of numbers 596, 398, 272, 315 is 1

GCD(596, 398, 272, 315) = 1

GCD of 596,398,272,315 Calculator

GCDof 596,398,272,315 is 1

Given Input numbers are 596, 398, 272, 315

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

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 596, 398, 272, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 398, 272, 315 is 1.

Therefore, GCD of numbers 596, 398, 272, 315 is 1

Finding GCD of 596, 398, 272, 315 using Prime Factorization

Given Input Data is 596, 398, 272, 315

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 398 is 2 x 199

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 315 is 3 x 3 x 5 x 7

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

Finding GCD of 596, 398, 272, 315 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(596, 398) = 118604

GCD(596, 398) = ( 596 x 398 ) / 118604

GCD(596, 398) = 237208 / 118604

GCD(596, 398) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 272

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

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

GCD(2, 272) = 544 / 272

GCD(2, 272) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 315

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

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

GCD(2, 315) = 630 / 630

GCD(2, 315) = 1

GCD of 596, 398, 272, 315 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 596, 398, 272, 315

1. What is the GCD of 596, 398, 272, 315?

GCD of 596, 398, 272, 315 is 1


2. Where do I get the detailed procedure to find GCD of 596, 398, 272, 315?

You can find a detailed procedure to find GCD of 596, 398, 272, 315 on our page.


3. How to find GCD of 596, 398, 272, 315 on a calculator?

You can find the GCD of 596, 398, 272, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.