GCD of 391, 843, 301, 738 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 391, 843, 301, 738 i.e. 1 largest integer that divides all the numbers equally.

GCD of 391, 843, 301, 738 is 1

GCD(391, 843, 301, 738) = 1

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

GCD of

GCD of numbers 391, 843, 301, 738 is 1

GCD(391, 843, 301, 738) = 1

GCD of 391,843,301,738 Calculator

GCDof 391,843,301,738 is 1

Given Input numbers are 391, 843, 301, 738

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

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 391, 843, 301, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 843, 301, 738 is 1.

Therefore, GCD of numbers 391, 843, 301, 738 is 1

Finding GCD of 391, 843, 301, 738 using Prime Factorization

Given Input Data is 391, 843, 301, 738

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

Prime Factorization of 391 is 17 x 23

Prime Factorization of 843 is 3 x 281

Prime Factorization of 301 is 7 x 43

Prime Factorization of 738 is 2 x 3 x 3 x 41

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

Finding GCD of 391, 843, 301, 738 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(391, 843) = 329613

GCD(391, 843) = ( 391 x 843 ) / 329613

GCD(391, 843) = 329613 / 329613

GCD(391, 843) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 391, 843, 301, 738 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 391, 843, 301, 738

1. What is the GCD of 391, 843, 301, 738?

GCD of 391, 843, 301, 738 is 1


2. Where do I get the detailed procedure to find GCD of 391, 843, 301, 738?

You can find a detailed procedure to find GCD of 391, 843, 301, 738 on our page.


3. How to find GCD of 391, 843, 301, 738 on a calculator?

You can find the GCD of 391, 843, 301, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.