GCD of 381, 230, 823, 104 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 381, 230, 823, 104 i.e. 1 largest integer that divides all the numbers equally.

GCD of 381, 230, 823, 104 is 1

GCD(381, 230, 823, 104) = 1

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

GCD of

GCD of numbers 381, 230, 823, 104 is 1

GCD(381, 230, 823, 104) = 1

GCD of 381,230,823,104 Calculator

GCDof 381,230,823,104 is 1

Given Input numbers are 381, 230, 823, 104

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

Divisors of 381

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

1, 3, 127, 381

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 381, 230, 823, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 230, 823, 104 is 1.

Therefore, GCD of numbers 381, 230, 823, 104 is 1

Finding GCD of 381, 230, 823, 104 using Prime Factorization

Given Input Data is 381, 230, 823, 104

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 823 is 823

Prime Factorization of 104 is 2 x 2 x 2 x 13

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

Finding GCD of 381, 230, 823, 104 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(381, 230) = 87630

GCD(381, 230) = ( 381 x 230 ) / 87630

GCD(381, 230) = 87630 / 87630

GCD(381, 230) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 381, 230, 823, 104 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 381, 230, 823, 104

1. What is the GCD of 381, 230, 823, 104?

GCD of 381, 230, 823, 104 is 1


2. Where do I get the detailed procedure to find GCD of 381, 230, 823, 104?

You can find a detailed procedure to find GCD of 381, 230, 823, 104 on our page.


3. How to find GCD of 381, 230, 823, 104 on a calculator?

You can find the GCD of 381, 230, 823, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.