GCD of 391, 695, 14, 203 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, 695, 14, 203 i.e. 1 largest integer that divides all the numbers equally.

GCD of 391, 695, 14, 203 is 1

GCD(391, 695, 14, 203) = 1

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

GCD of

GCD of numbers 391, 695, 14, 203 is 1

GCD(391, 695, 14, 203) = 1

GCD of 391,695,14,203 Calculator

GCDof 391,695,14,203 is 1

Given Input numbers are 391, 695, 14, 203

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 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 391, 695, 14, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 695, 14, 203 is 1.

Therefore, GCD of numbers 391, 695, 14, 203 is 1

Finding GCD of 391, 695, 14, 203 using Prime Factorization

Given Input Data is 391, 695, 14, 203

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

Prime Factorization of 391 is 17 x 23

Prime Factorization of 695 is 5 x 139

Prime Factorization of 14 is 2 x 7

Prime Factorization of 203 is 7 x 29

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

Finding GCD of 391, 695, 14, 203 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, 695) = 271745

GCD(391, 695) = ( 391 x 695 ) / 271745

GCD(391, 695) = 271745 / 271745

GCD(391, 695) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

GCD of 391, 695, 14, 203 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 391, 695, 14, 203

1. What is the GCD of 391, 695, 14, 203?

GCD of 391, 695, 14, 203 is 1


2. Where do I get the detailed procedure to find GCD of 391, 695, 14, 203?

You can find a detailed procedure to find GCD of 391, 695, 14, 203 on our page.


3. How to find GCD of 391, 695, 14, 203 on a calculator?

You can find the GCD of 391, 695, 14, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.