GCD of 449, 238, 309 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 449, 238, 309 i.e. 1 largest integer that divides all the numbers equally.

GCD of 449, 238, 309 is 1

GCD(449, 238, 309) = 1

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

GCD of

GCD of numbers 449, 238, 309 is 1

GCD(449, 238, 309) = 1

GCD of 449,238,309 Calculator

GCDof 449,238,309 is 1

Given Input numbers are 449, 238, 309

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

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 449, 238, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 238, 309 is 1.

Therefore, GCD of numbers 449, 238, 309 is 1

Finding GCD of 449, 238, 309 using Prime Factorization

Given Input Data is 449, 238, 309

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

Prime Factorization of 449 is 449

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 309 is 3 x 103

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

Finding GCD of 449, 238, 309 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(449, 238) = 106862

GCD(449, 238) = ( 449 x 238 ) / 106862

GCD(449, 238) = 106862 / 106862

GCD(449, 238) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 449, 238, 309 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 449, 238, 309

1. What is the GCD of 449, 238, 309?

GCD of 449, 238, 309 is 1


2. Where do I get the detailed procedure to find GCD of 449, 238, 309?

You can find a detailed procedure to find GCD of 449, 238, 309 on our page.


3. How to find GCD of 449, 238, 309 on a calculator?

You can find the GCD of 449, 238, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.