GCD of 595, 427, 59, 438 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 595, 427, 59, 438 i.e. 1 largest integer that divides all the numbers equally.

GCD of 595, 427, 59, 438 is 1

GCD(595, 427, 59, 438) = 1

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

GCD of

GCD of numbers 595, 427, 59, 438 is 1

GCD(595, 427, 59, 438) = 1

GCD of 595,427,59,438 Calculator

GCDof 595,427,59,438 is 1

Given Input numbers are 595, 427, 59, 438

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

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 595, 427, 59, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 427, 59, 438 is 1.

Therefore, GCD of numbers 595, 427, 59, 438 is 1

Finding GCD of 595, 427, 59, 438 using Prime Factorization

Given Input Data is 595, 427, 59, 438

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

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 427 is 7 x 61

Prime Factorization of 59 is 59

Prime Factorization of 438 is 2 x 3 x 73

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

Finding GCD of 595, 427, 59, 438 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(595, 427) = 36295

GCD(595, 427) = ( 595 x 427 ) / 36295

GCD(595, 427) = 254065 / 36295

GCD(595, 427) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 59

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

LCM(7, 59) = 413

GCD(7, 59) = ( 7 x 59 ) / 413

GCD(7, 59) = 413 / 413

GCD(7, 59) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 595, 427, 59, 438 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 595, 427, 59, 438

1. What is the GCD of 595, 427, 59, 438?

GCD of 595, 427, 59, 438 is 1


2. Where do I get the detailed procedure to find GCD of 595, 427, 59, 438?

You can find a detailed procedure to find GCD of 595, 427, 59, 438 on our page.


3. How to find GCD of 595, 427, 59, 438 on a calculator?

You can find the GCD of 595, 427, 59, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.