GCD of 381, 583, 83, 804 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, 583, 83, 804 i.e. 1 largest integer that divides all the numbers equally.

GCD of 381, 583, 83, 804 is 1

GCD(381, 583, 83, 804) = 1

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

GCD of

GCD of numbers 381, 583, 83, 804 is 1

GCD(381, 583, 83, 804) = 1

GCD of 381,583,83,804 Calculator

GCDof 381,583,83,804 is 1

Given Input numbers are 381, 583, 83, 804

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 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 381, 583, 83, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 583, 83, 804 is 1.

Therefore, GCD of numbers 381, 583, 83, 804 is 1

Finding GCD of 381, 583, 83, 804 using Prime Factorization

Given Input Data is 381, 583, 83, 804

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 583 is 11 x 53

Prime Factorization of 83 is 83

Prime Factorization of 804 is 2 x 2 x 3 x 67

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

Finding GCD of 381, 583, 83, 804 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, 583) = 222123

GCD(381, 583) = ( 381 x 583 ) / 222123

GCD(381, 583) = 222123 / 222123

GCD(381, 583) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 804

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

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

GCD(1, 804) = 804 / 804

GCD(1, 804) = 1

GCD of 381, 583, 83, 804 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 381, 583, 83, 804

1. What is the GCD of 381, 583, 83, 804?

GCD of 381, 583, 83, 804 is 1


2. Where do I get the detailed procedure to find GCD of 381, 583, 83, 804?

You can find a detailed procedure to find GCD of 381, 583, 83, 804 on our page.


3. How to find GCD of 381, 583, 83, 804 on a calculator?

You can find the GCD of 381, 583, 83, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.