GCD of 582, 357, 444 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 582, 357, 444 i.e. 3 largest integer that divides all the numbers equally.

GCD of 582, 357, 444 is 3

GCD(582, 357, 444) = 3

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

GCD of

GCD of numbers 582, 357, 444 is 3

GCD(582, 357, 444) = 3

GCD of 582,357,444 Calculator

GCDof 582,357,444 is 3

Given Input numbers are 582, 357, 444

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

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 582, 357, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 357, 444 is 3.

Therefore, GCD of numbers 582, 357, 444 is 3

Finding GCD of 582, 357, 444 using Prime Factorization

Given Input Data is 582, 357, 444

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 444 is 2 x 2 x 3 x 37

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 582, 357, 444 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(582, 357) = 69258

GCD(582, 357) = ( 582 x 357 ) / 69258

GCD(582, 357) = 207774 / 69258

GCD(582, 357) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 444

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

LCM(3, 444) = 444

GCD(3, 444) = ( 3 x 444 ) / 444

GCD(3, 444) = 1332 / 444

GCD(3, 444) = 3

GCD of 582, 357, 444 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 582, 357, 444

1. What is the GCD of 582, 357, 444?

GCD of 582, 357, 444 is 3


2. Where do I get the detailed procedure to find GCD of 582, 357, 444?

You can find a detailed procedure to find GCD of 582, 357, 444 on our page.


3. How to find GCD of 582, 357, 444 on a calculator?

You can find the GCD of 582, 357, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.