GCD of 842, 532, 580, 519 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 842, 532, 580, 519 i.e. 1 largest integer that divides all the numbers equally.

GCD of 842, 532, 580, 519 is 1

GCD(842, 532, 580, 519) = 1

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

GCD of

GCD of numbers 842, 532, 580, 519 is 1

GCD(842, 532, 580, 519) = 1

GCD of 842,532,580,519 Calculator

GCDof 842,532,580,519 is 1

Given Input numbers are 842, 532, 580, 519

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Greatest Common Divisior

We found the divisors of 842, 532, 580, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 532, 580, 519 is 1.

Therefore, GCD of numbers 842, 532, 580, 519 is 1

Finding GCD of 842, 532, 580, 519 using Prime Factorization

Given Input Data is 842, 532, 580, 519

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 519 is 3 x 173

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

Finding GCD of 842, 532, 580, 519 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(842, 532) = 223972

GCD(842, 532) = ( 842 x 532 ) / 223972

GCD(842, 532) = 447944 / 223972

GCD(842, 532) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 580

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

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

GCD(2, 580) = 1160 / 580

GCD(2, 580) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 519

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

LCM(2, 519) = 1038

GCD(2, 519) = ( 2 x 519 ) / 1038

GCD(2, 519) = 1038 / 1038

GCD(2, 519) = 1

GCD of 842, 532, 580, 519 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 842, 532, 580, 519

1. What is the GCD of 842, 532, 580, 519?

GCD of 842, 532, 580, 519 is 1


2. Where do I get the detailed procedure to find GCD of 842, 532, 580, 519?

You can find a detailed procedure to find GCD of 842, 532, 580, 519 on our page.


3. How to find GCD of 842, 532, 580, 519 on a calculator?

You can find the GCD of 842, 532, 580, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.