GCD of 590, 482, 72, 396 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, 482, 72, 396 i.e. 2 largest integer that divides all the numbers equally.

GCD of 590, 482, 72, 396 is 2

GCD(590, 482, 72, 396) = 2

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

GCD of

GCD of numbers 590, 482, 72, 396 is 2

GCD(590, 482, 72, 396) = 2

GCD of 590,482,72,396 Calculator

GCDof 590,482,72,396 is 2

Given Input numbers are 590, 482, 72, 396

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 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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

Greatest Common Divisior

We found the divisors of 590, 482, 72, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 482, 72, 396 is 2.

Therefore, GCD of numbers 590, 482, 72, 396 is 2

Finding GCD of 590, 482, 72, 396 using Prime Factorization

Given Input Data is 590, 482, 72, 396

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 482 is 2 x 241

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 590, 482, 72, 396 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, 482) = 142190

GCD(590, 482) = ( 590 x 482 ) / 142190

GCD(590, 482) = 284380 / 142190

GCD(590, 482) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 396

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

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

GCD(2, 396) = 792 / 396

GCD(2, 396) = 2

GCD of 590, 482, 72, 396 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 590, 482, 72, 396

1. What is the GCD of 590, 482, 72, 396?

GCD of 590, 482, 72, 396 is 2


2. Where do I get the detailed procedure to find GCD of 590, 482, 72, 396?

You can find a detailed procedure to find GCD of 590, 482, 72, 396 on our page.


3. How to find GCD of 590, 482, 72, 396 on a calculator?

You can find the GCD of 590, 482, 72, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.