GCD of 638, 332, 321, 800 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 638, 332, 321, 800 i.e. 1 largest integer that divides all the numbers equally.

GCD of 638, 332, 321, 800 is 1

GCD(638, 332, 321, 800) = 1

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

GCD of

GCD of numbers 638, 332, 321, 800 is 1

GCD(638, 332, 321, 800) = 1

GCD of 638,332,321,800 Calculator

GCDof 638,332,321,800 is 1

Given Input numbers are 638, 332, 321, 800

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 638, 332, 321, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 332, 321, 800 is 1.

Therefore, GCD of numbers 638, 332, 321, 800 is 1

Finding GCD of 638, 332, 321, 800 using Prime Factorization

Given Input Data is 638, 332, 321, 800

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 321 is 3 x 107

Prime Factorization of 800 is 2 x 2 x 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 638, 332, 321, 800 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(638, 332) = 105908

GCD(638, 332) = ( 638 x 332 ) / 105908

GCD(638, 332) = 211816 / 105908

GCD(638, 332) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 321

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

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

GCD(2, 321) = 642 / 642

GCD(2, 321) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 638, 332, 321, 800 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 638, 332, 321, 800

1. What is the GCD of 638, 332, 321, 800?

GCD of 638, 332, 321, 800 is 1


2. Where do I get the detailed procedure to find GCD of 638, 332, 321, 800?

You can find a detailed procedure to find GCD of 638, 332, 321, 800 on our page.


3. How to find GCD of 638, 332, 321, 800 on a calculator?

You can find the GCD of 638, 332, 321, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.