GCD of 893, 842, 407, 321 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, 842, 407, 321 i.e. 1 largest integer that divides all the numbers equally.

GCD of 893, 842, 407, 321 is 1

GCD(893, 842, 407, 321) = 1

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

GCD of

GCD of numbers 893, 842, 407, 321 is 1

GCD(893, 842, 407, 321) = 1

GCD of 893,842,407,321 Calculator

GCDof 893,842,407,321 is 1

Given Input numbers are 893, 842, 407, 321

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 321

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

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 893, 842, 407, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 893, 842, 407, 321 is 1.

Therefore, GCD of numbers 893, 842, 407, 321 is 1

Finding GCD of 893, 842, 407, 321 using Prime Factorization

Given Input Data is 893, 842, 407, 321

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

Prime Factorization of 893 is 19 x 47

Prime Factorization of 842 is 2 x 421

Prime Factorization of 407 is 11 x 37

Prime Factorization of 321 is 3 x 107

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

Finding GCD of 893, 842, 407, 321 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, 842) = 751906

GCD(893, 842) = ( 893 x 842 ) / 751906

GCD(893, 842) = 751906 / 751906

GCD(893, 842) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 893, 842, 407, 321 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 893, 842, 407, 321

1. What is the GCD of 893, 842, 407, 321?

GCD of 893, 842, 407, 321 is 1


2. Where do I get the detailed procedure to find GCD of 893, 842, 407, 321?

You can find a detailed procedure to find GCD of 893, 842, 407, 321 on our page.


3. How to find GCD of 893, 842, 407, 321 on a calculator?

You can find the GCD of 893, 842, 407, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.