GCD of 893, 321, 20, 384 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 893, 321, 20, 384 i.e. 1 largest integer that divides all the numbers equally.

GCD of 893, 321, 20, 384 is 1

GCD(893, 321, 20, 384) = 1

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

GCD of

GCD of numbers 893, 321, 20, 384 is 1

GCD(893, 321, 20, 384) = 1

GCD of 893,321,20,384 Calculator

GCDof 893,321,20,384 is 1

Given Input numbers are 893, 321, 20, 384

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

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 321

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

1, 3, 107, 321

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 893, 321, 20, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 893, 321, 20, 384 is 1.

Therefore, GCD of numbers 893, 321, 20, 384 is 1

Finding GCD of 893, 321, 20, 384 using Prime Factorization

Given Input Data is 893, 321, 20, 384

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

Prime Factorization of 893 is 19 x 47

Prime Factorization of 321 is 3 x 107

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Finding GCD of 893, 321, 20, 384 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(893, 321) = 286653

GCD(893, 321) = ( 893 x 321 ) / 286653

GCD(893, 321) = 286653 / 286653

GCD(893, 321) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 893, 321, 20, 384 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 893, 321, 20, 384

1. What is the GCD of 893, 321, 20, 384?

GCD of 893, 321, 20, 384 is 1


2. Where do I get the detailed procedure to find GCD of 893, 321, 20, 384?

You can find a detailed procedure to find GCD of 893, 321, 20, 384 on our page.


3. How to find GCD of 893, 321, 20, 384 on a calculator?

You can find the GCD of 893, 321, 20, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.