GCD of 321, 547, 71, 428 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 321, 547, 71, 428 i.e. 1 largest integer that divides all the numbers equally.

GCD of 321, 547, 71, 428 is 1

GCD(321, 547, 71, 428) = 1

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

GCD of

GCD of numbers 321, 547, 71, 428 is 1

GCD(321, 547, 71, 428) = 1

GCD of 321,547,71,428 Calculator

GCDof 321,547,71,428 is 1

Given Input numbers are 321, 547, 71, 428

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

Divisors of 321

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

1, 3, 107, 321

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 71

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

1, 71

Divisors of 428

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

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 321, 547, 71, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 547, 71, 428 is 1.

Therefore, GCD of numbers 321, 547, 71, 428 is 1

Finding GCD of 321, 547, 71, 428 using Prime Factorization

Given Input Data is 321, 547, 71, 428

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 547 is 547

Prime Factorization of 71 is 71

Prime Factorization of 428 is 2 x 2 x 107

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

Finding GCD of 321, 547, 71, 428 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(321, 547) = 175587

GCD(321, 547) = ( 321 x 547 ) / 175587

GCD(321, 547) = 175587 / 175587

GCD(321, 547) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1


Step3:

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

GCD of 321, 547, 71, 428 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 321, 547, 71, 428

1. What is the GCD of 321, 547, 71, 428?

GCD of 321, 547, 71, 428 is 1


2. Where do I get the detailed procedure to find GCD of 321, 547, 71, 428?

You can find a detailed procedure to find GCD of 321, 547, 71, 428 on our page.


3. How to find GCD of 321, 547, 71, 428 on a calculator?

You can find the GCD of 321, 547, 71, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.