GCD of 537, 516, 19, 959 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 537, 516, 19, 959 i.e. 1 largest integer that divides all the numbers equally.

GCD of 537, 516, 19, 959 is 1

GCD(537, 516, 19, 959) = 1

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

GCD of

GCD of numbers 537, 516, 19, 959 is 1

GCD(537, 516, 19, 959) = 1

GCD of 537,516,19,959 Calculator

GCDof 537,516,19,959 is 1

Given Input numbers are 537, 516, 19, 959

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 537, 516, 19, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 516, 19, 959 is 1.

Therefore, GCD of numbers 537, 516, 19, 959 is 1

Finding GCD of 537, 516, 19, 959 using Prime Factorization

Given Input Data is 537, 516, 19, 959

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 19 is 19

Prime Factorization of 959 is 7 x 137

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

Finding GCD of 537, 516, 19, 959 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(537, 516) = 92364

GCD(537, 516) = ( 537 x 516 ) / 92364

GCD(537, 516) = 277092 / 92364

GCD(537, 516) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 19

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

LCM(3, 19) = 57

GCD(3, 19) = ( 3 x 19 ) / 57

GCD(3, 19) = 57 / 57

GCD(3, 19) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 537, 516, 19, 959 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 537, 516, 19, 959

1. What is the GCD of 537, 516, 19, 959?

GCD of 537, 516, 19, 959 is 1


2. Where do I get the detailed procedure to find GCD of 537, 516, 19, 959?

You can find a detailed procedure to find GCD of 537, 516, 19, 959 on our page.


3. How to find GCD of 537, 516, 19, 959 on a calculator?

You can find the GCD of 537, 516, 19, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.