GCD of 644, 482, 600 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 644, 482, 600 i.e. 2 largest integer that divides all the numbers equally.

GCD of 644, 482, 600 is 2

GCD(644, 482, 600) = 2

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

GCD of

GCD of numbers 644, 482, 600 is 2

GCD(644, 482, 600) = 2

GCD of 644,482,600 Calculator

GCDof 644,482,600 is 2

Given Input numbers are 644, 482, 600

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

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 482

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

1, 2, 241, 482

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 644, 482, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 482, 600 is 2.

Therefore, GCD of numbers 644, 482, 600 is 2

Finding GCD of 644, 482, 600 using Prime Factorization

Given Input Data is 644, 482, 600

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

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 482 is 2 x 241

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 644, 482, 600 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(644, 482) = 155204

GCD(644, 482) = ( 644 x 482 ) / 155204

GCD(644, 482) = 310408 / 155204

GCD(644, 482) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

GCD of 644, 482, 600 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 644, 482, 600

1. What is the GCD of 644, 482, 600?

GCD of 644, 482, 600 is 2


2. Where do I get the detailed procedure to find GCD of 644, 482, 600?

You can find a detailed procedure to find GCD of 644, 482, 600 on our page.


3. How to find GCD of 644, 482, 600 on a calculator?

You can find the GCD of 644, 482, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.