GCD of 313, 789, 43, 791 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 313, 789, 43, 791 i.e. 1 largest integer that divides all the numbers equally.

GCD of 313, 789, 43, 791 is 1

GCD(313, 789, 43, 791) = 1

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

GCD of

GCD of numbers 313, 789, 43, 791 is 1

GCD(313, 789, 43, 791) = 1

GCD of 313,789,43,791 Calculator

GCDof 313,789,43,791 is 1

Given Input numbers are 313, 789, 43, 791

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 313, 789, 43, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 789, 43, 791 is 1.

Therefore, GCD of numbers 313, 789, 43, 791 is 1

Finding GCD of 313, 789, 43, 791 using Prime Factorization

Given Input Data is 313, 789, 43, 791

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

Prime Factorization of 313 is 313

Prime Factorization of 789 is 3 x 263

Prime Factorization of 43 is 43

Prime Factorization of 791 is 7 x 113

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

Finding GCD of 313, 789, 43, 791 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(313, 789) = 246957

GCD(313, 789) = ( 313 x 789 ) / 246957

GCD(313, 789) = 246957 / 246957

GCD(313, 789) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 43

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

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

GCD(1, 43) = 43 / 43

GCD(1, 43) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 313, 789, 43, 791 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 313, 789, 43, 791

1. What is the GCD of 313, 789, 43, 791?

GCD of 313, 789, 43, 791 is 1


2. Where do I get the detailed procedure to find GCD of 313, 789, 43, 791?

You can find a detailed procedure to find GCD of 313, 789, 43, 791 on our page.


3. How to find GCD of 313, 789, 43, 791 on a calculator?

You can find the GCD of 313, 789, 43, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.