GCD of 393, 105, 13, 691 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 393, 105, 13, 691 i.e. 1 largest integer that divides all the numbers equally.

GCD of 393, 105, 13, 691 is 1

GCD(393, 105, 13, 691) = 1

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

GCD of

GCD of numbers 393, 105, 13, 691 is 1

GCD(393, 105, 13, 691) = 1

GCD of 393,105,13,691 Calculator

GCDof 393,105,13,691 is 1

Given Input numbers are 393, 105, 13, 691

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 393, 105, 13, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 105, 13, 691 is 1.

Therefore, GCD of numbers 393, 105, 13, 691 is 1

Finding GCD of 393, 105, 13, 691 using Prime Factorization

Given Input Data is 393, 105, 13, 691

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 13 is 13

Prime Factorization of 691 is 691

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

Finding GCD of 393, 105, 13, 691 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(393, 105) = 13755

GCD(393, 105) = ( 393 x 105 ) / 13755

GCD(393, 105) = 41265 / 13755

GCD(393, 105) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 393, 105, 13, 691 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 393, 105, 13, 691

1. What is the GCD of 393, 105, 13, 691?

GCD of 393, 105, 13, 691 is 1


2. Where do I get the detailed procedure to find GCD of 393, 105, 13, 691?

You can find a detailed procedure to find GCD of 393, 105, 13, 691 on our page.


3. How to find GCD of 393, 105, 13, 691 on a calculator?

You can find the GCD of 393, 105, 13, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.