GCD of 299, 371, 426, 324 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 299, 371, 426, 324 i.e. 1 largest integer that divides all the numbers equally.

GCD of 299, 371, 426, 324 is 1

GCD(299, 371, 426, 324) = 1

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

GCD of

GCD of numbers 299, 371, 426, 324 is 1

GCD(299, 371, 426, 324) = 1

GCD of 299,371,426,324 Calculator

GCDof 299,371,426,324 is 1

Given Input numbers are 299, 371, 426, 324

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 299, 371, 426, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 371, 426, 324 is 1.

Therefore, GCD of numbers 299, 371, 426, 324 is 1

Finding GCD of 299, 371, 426, 324 using Prime Factorization

Given Input Data is 299, 371, 426, 324

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 371 is 7 x 53

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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

Finding GCD of 299, 371, 426, 324 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(299, 371) = 110929

GCD(299, 371) = ( 299 x 371 ) / 110929

GCD(299, 371) = 110929 / 110929

GCD(299, 371) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 426

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

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

GCD(1, 426) = 426 / 426

GCD(1, 426) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 299, 371, 426, 324 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 299, 371, 426, 324

1. What is the GCD of 299, 371, 426, 324?

GCD of 299, 371, 426, 324 is 1


2. Where do I get the detailed procedure to find GCD of 299, 371, 426, 324?

You can find a detailed procedure to find GCD of 299, 371, 426, 324 on our page.


3. How to find GCD of 299, 371, 426, 324 on a calculator?

You can find the GCD of 299, 371, 426, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.