GCD of 321, 885, 920, 395 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 321, 885, 920, 395 i.e. 1 largest integer that divides all the numbers equally.

GCD of 321, 885, 920, 395 is 1

GCD(321, 885, 920, 395) = 1

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

GCD of

GCD of numbers 321, 885, 920, 395 is 1

GCD(321, 885, 920, 395) = 1

GCD of 321,885,920,395 Calculator

GCDof 321,885,920,395 is 1

Given Input numbers are 321, 885, 920, 395

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

Divisors of 321

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

1, 3, 107, 321

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 321, 885, 920, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 885, 920, 395 is 1.

Therefore, GCD of numbers 321, 885, 920, 395 is 1

Finding GCD of 321, 885, 920, 395 using Prime Factorization

Given Input Data is 321, 885, 920, 395

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 395 is 5 x 79

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

Finding GCD of 321, 885, 920, 395 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(321, 885) = 94695

GCD(321, 885) = ( 321 x 885 ) / 94695

GCD(321, 885) = 284085 / 94695

GCD(321, 885) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 920

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

LCM(3, 920) = 2760

GCD(3, 920) = ( 3 x 920 ) / 2760

GCD(3, 920) = 2760 / 2760

GCD(3, 920) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 395

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

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

GCD(1, 395) = 395 / 395

GCD(1, 395) = 1

GCD of 321, 885, 920, 395 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 321, 885, 920, 395

1. What is the GCD of 321, 885, 920, 395?

GCD of 321, 885, 920, 395 is 1


2. Where do I get the detailed procedure to find GCD of 321, 885, 920, 395?

You can find a detailed procedure to find GCD of 321, 885, 920, 395 on our page.


3. How to find GCD of 321, 885, 920, 395 on a calculator?

You can find the GCD of 321, 885, 920, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.