GCD of 13, 682, 997, 643 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 13, 682, 997, 643 i.e. 1 largest integer that divides all the numbers equally.

GCD of 13, 682, 997, 643 is 1

GCD(13, 682, 997, 643) = 1

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

GCD of

GCD of numbers 13, 682, 997, 643 is 1

GCD(13, 682, 997, 643) = 1

GCD of 13,682,997,643 Calculator

GCDof 13,682,997,643 is 1

Given Input numbers are 13, 682, 997, 643

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

Divisors of 13

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

1, 13

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 13, 682, 997, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 682, 997, 643 is 1.

Therefore, GCD of numbers 13, 682, 997, 643 is 1

Finding GCD of 13, 682, 997, 643 using Prime Factorization

Given Input Data is 13, 682, 997, 643

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

Prime Factorization of 13 is 13

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 997 is 997

Prime Factorization of 643 is 643

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

Finding GCD of 13, 682, 997, 643 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(13, 682) = 8866

GCD(13, 682) = ( 13 x 682 ) / 8866

GCD(13, 682) = 8866 / 8866

GCD(13, 682) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 13, 682, 997, 643 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 13, 682, 997, 643

1. What is the GCD of 13, 682, 997, 643?

GCD of 13, 682, 997, 643 is 1


2. Where do I get the detailed procedure to find GCD of 13, 682, 997, 643?

You can find a detailed procedure to find GCD of 13, 682, 997, 643 on our page.


3. How to find GCD of 13, 682, 997, 643 on a calculator?

You can find the GCD of 13, 682, 997, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.