GCD of 590, 396, 90, 731 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 590, 396, 90, 731 i.e. 1 largest integer that divides all the numbers equally.

GCD of 590, 396, 90, 731 is 1

GCD(590, 396, 90, 731) = 1

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

GCD of

GCD of numbers 590, 396, 90, 731 is 1

GCD(590, 396, 90, 731) = 1

GCD of 590,396,90,731 Calculator

GCDof 590,396,90,731 is 1

Given Input numbers are 590, 396, 90, 731

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 590, 396, 90, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 396, 90, 731 is 1.

Therefore, GCD of numbers 590, 396, 90, 731 is 1

Finding GCD of 590, 396, 90, 731 using Prime Factorization

Given Input Data is 590, 396, 90, 731

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 731 is 17 x 43

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

Finding GCD of 590, 396, 90, 731 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(590, 396) = 116820

GCD(590, 396) = ( 590 x 396 ) / 116820

GCD(590, 396) = 233640 / 116820

GCD(590, 396) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 731

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

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

GCD(2, 731) = 1462 / 1462

GCD(2, 731) = 1

GCD of 590, 396, 90, 731 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 590, 396, 90, 731

1. What is the GCD of 590, 396, 90, 731?

GCD of 590, 396, 90, 731 is 1


2. Where do I get the detailed procedure to find GCD of 590, 396, 90, 731?

You can find a detailed procedure to find GCD of 590, 396, 90, 731 on our page.


3. How to find GCD of 590, 396, 90, 731 on a calculator?

You can find the GCD of 590, 396, 90, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.