GCD of 524, 428, 859 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 524, 428, 859 i.e. 1 largest integer that divides all the numbers equally.

GCD of 524, 428, 859 is 1

GCD(524, 428, 859) = 1

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

GCD of

GCD of numbers 524, 428, 859 is 1

GCD(524, 428, 859) = 1

GCD of 524,428,859 Calculator

GCDof 524,428,859 is 1

Given Input numbers are 524, 428, 859

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 428

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

1, 2, 4, 107, 214, 428

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Greatest Common Divisior

We found the divisors of 524, 428, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 428, 859 is 1.

Therefore, GCD of numbers 524, 428, 859 is 1

Finding GCD of 524, 428, 859 using Prime Factorization

Given Input Data is 524, 428, 859

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 859 is 859

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

Finding GCD of 524, 428, 859 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(524, 428) = 56068

GCD(524, 428) = ( 524 x 428 ) / 56068

GCD(524, 428) = 224272 / 56068

GCD(524, 428) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 859

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

LCM(4, 859) = 3436

GCD(4, 859) = ( 4 x 859 ) / 3436

GCD(4, 859) = 3436 / 3436

GCD(4, 859) = 1

GCD of 524, 428, 859 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 524, 428, 859

1. What is the GCD of 524, 428, 859?

GCD of 524, 428, 859 is 1

2. Where do I get the detailed procedure to find GCD of 524, 428, 859?

You can find a detailed procedure to find GCD of 524, 428, 859 on our page.

3. How to find GCD of 524, 428, 859 on a calculator?

You can find the GCD of 524, 428, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.