GCD of 643, 381, 31 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 643, 381, 31 i.e. 1 largest integer that divides all the numbers equally.

GCD of 643, 381, 31 is 1

GCD(643, 381, 31) = 1

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

GCD of

GCD of numbers 643, 381, 31 is 1

GCD(643, 381, 31) = 1

GCD of 643,381,31 Calculator

GCDof 643,381,31 is 1

Given Input numbers are 643, 381, 31

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

Divisors of 643

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

1, 643

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 643, 381, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 381, 31 is 1.

Therefore, GCD of numbers 643, 381, 31 is 1

Finding GCD of 643, 381, 31 using Prime Factorization

Given Input Data is 643, 381, 31

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

Prime Factorization of 643 is 643

Prime Factorization of 381 is 3 x 127

Prime Factorization of 31 is 31

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

Finding GCD of 643, 381, 31 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(643, 381) = 244983

GCD(643, 381) = ( 643 x 381 ) / 244983

GCD(643, 381) = 244983 / 244983

GCD(643, 381) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 643, 381, 31 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 643, 381, 31

1. What is the GCD of 643, 381, 31?

GCD of 643, 381, 31 is 1


2. Where do I get the detailed procedure to find GCD of 643, 381, 31?

You can find a detailed procedure to find GCD of 643, 381, 31 on our page.


3. How to find GCD of 643, 381, 31 on a calculator?

You can find the GCD of 643, 381, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.