GCD of 600, 391, 468, 200 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 600, 391, 468, 200 i.e. 1 largest integer that divides all the numbers equally.

GCD of 600, 391, 468, 200 is 1

GCD(600, 391, 468, 200) = 1

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

GCD of

GCD of numbers 600, 391, 468, 200 is 1

GCD(600, 391, 468, 200) = 1

GCD of 600,391,468,200 Calculator

GCDof 600,391,468,200 is 1

Given Input numbers are 600, 391, 468, 200

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

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

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 600, 391, 468, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 391, 468, 200 is 1.

Therefore, GCD of numbers 600, 391, 468, 200 is 1

Finding GCD of 600, 391, 468, 200 using Prime Factorization

Given Input Data is 600, 391, 468, 200

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

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

Prime Factorization of 391 is 17 x 23

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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

Finding GCD of 600, 391, 468, 200 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(600, 391) = 234600

GCD(600, 391) = ( 600 x 391 ) / 234600

GCD(600, 391) = 234600 / 234600

GCD(600, 391) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 600, 391, 468, 200 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 600, 391, 468, 200

1. What is the GCD of 600, 391, 468, 200?

GCD of 600, 391, 468, 200 is 1


2. Where do I get the detailed procedure to find GCD of 600, 391, 468, 200?

You can find a detailed procedure to find GCD of 600, 391, 468, 200 on our page.


3. How to find GCD of 600, 391, 468, 200 on a calculator?

You can find the GCD of 600, 391, 468, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.