GCD of 380, 809, 321, 134 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 380, 809, 321, 134 i.e. 1 largest integer that divides all the numbers equally.

GCD of 380, 809, 321, 134 is 1

GCD(380, 809, 321, 134) = 1

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

GCD of

GCD of numbers 380, 809, 321, 134 is 1

GCD(380, 809, 321, 134) = 1

GCD of 380,809,321,134 Calculator

GCDof 380,809,321,134 is 1

Given Input numbers are 380, 809, 321, 134

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 380, 809, 321, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 809, 321, 134 is 1.

Therefore, GCD of numbers 380, 809, 321, 134 is 1

Finding GCD of 380, 809, 321, 134 using Prime Factorization

Given Input Data is 380, 809, 321, 134

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 809 is 809

Prime Factorization of 321 is 3 x 107

Prime Factorization of 134 is 2 x 67

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

Finding GCD of 380, 809, 321, 134 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(380, 809) = 307420

GCD(380, 809) = ( 380 x 809 ) / 307420

GCD(380, 809) = 307420 / 307420

GCD(380, 809) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

GCD of 380, 809, 321, 134 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 380, 809, 321, 134

1. What is the GCD of 380, 809, 321, 134?

GCD of 380, 809, 321, 134 is 1


2. Where do I get the detailed procedure to find GCD of 380, 809, 321, 134?

You can find a detailed procedure to find GCD of 380, 809, 321, 134 on our page.


3. How to find GCD of 380, 809, 321, 134 on a calculator?

You can find the GCD of 380, 809, 321, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.