GCD of 71, 326, 428, 234 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 71, 326, 428, 234 i.e. 1 largest integer that divides all the numbers equally.

GCD of 71, 326, 428, 234 is 1

GCD(71, 326, 428, 234) = 1

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

GCD of

GCD of numbers 71, 326, 428, 234 is 1

GCD(71, 326, 428, 234) = 1

GCD of 71,326,428,234 Calculator

GCDof 71,326,428,234 is 1

Given Input numbers are 71, 326, 428, 234

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 71, 326, 428, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 326, 428, 234 is 1.

Therefore, GCD of numbers 71, 326, 428, 234 is 1

Finding GCD of 71, 326, 428, 234 using Prime Factorization

Given Input Data is 71, 326, 428, 234

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

Prime Factorization of 71 is 71

Prime Factorization of 326 is 2 x 163

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 234 is 2 x 3 x 3 x 13

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

Finding GCD of 71, 326, 428, 234 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(71, 326) = 23146

GCD(71, 326) = ( 71 x 326 ) / 23146

GCD(71, 326) = 23146 / 23146

GCD(71, 326) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 71, 326, 428, 234 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 71, 326, 428, 234

1. What is the GCD of 71, 326, 428, 234?

GCD of 71, 326, 428, 234 is 1


2. Where do I get the detailed procedure to find GCD of 71, 326, 428, 234?

You can find a detailed procedure to find GCD of 71, 326, 428, 234 on our page.


3. How to find GCD of 71, 326, 428, 234 on a calculator?

You can find the GCD of 71, 326, 428, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.