GCD of 321, 876, 235, 893 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, 876, 235, 893 i.e. 1 largest integer that divides all the numbers equally.

GCD of 321, 876, 235, 893 is 1

GCD(321, 876, 235, 893) = 1

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

GCD of

GCD of numbers 321, 876, 235, 893 is 1

GCD(321, 876, 235, 893) = 1

GCD of 321,876,235,893 Calculator

GCDof 321,876,235,893 is 1

Given Input numbers are 321, 876, 235, 893

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 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 893

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

1, 19, 47, 893

Greatest Common Divisior

We found the divisors of 321, 876, 235, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 876, 235, 893 is 1.

Therefore, GCD of numbers 321, 876, 235, 893 is 1

Finding GCD of 321, 876, 235, 893 using Prime Factorization

Given Input Data is 321, 876, 235, 893

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 235 is 5 x 47

Prime Factorization of 893 is 19 x 47

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

Finding GCD of 321, 876, 235, 893 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, 876) = 93732

GCD(321, 876) = ( 321 x 876 ) / 93732

GCD(321, 876) = 281196 / 93732

GCD(321, 876) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 235

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

LCM(3, 235) = 705

GCD(3, 235) = ( 3 x 235 ) / 705

GCD(3, 235) = 705 / 705

GCD(3, 235) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

GCD of 321, 876, 235, 893 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 321, 876, 235, 893

1. What is the GCD of 321, 876, 235, 893?

GCD of 321, 876, 235, 893 is 1


2. Where do I get the detailed procedure to find GCD of 321, 876, 235, 893?

You can find a detailed procedure to find GCD of 321, 876, 235, 893 on our page.


3. How to find GCD of 321, 876, 235, 893 on a calculator?

You can find the GCD of 321, 876, 235, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.