GCD of 36, 156, 503, 990 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 36, 156, 503, 990 i.e. 1 largest integer that divides all the numbers equally.

GCD of 36, 156, 503, 990 is 1

GCD(36, 156, 503, 990) = 1

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

GCD of

GCD of numbers 36, 156, 503, 990 is 1

GCD(36, 156, 503, 990) = 1

GCD of 36,156,503,990 Calculator

GCDof 36,156,503,990 is 1

Given Input numbers are 36, 156, 503, 990

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 36, 156, 503, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 156, 503, 990 is 1.

Therefore, GCD of numbers 36, 156, 503, 990 is 1

Finding GCD of 36, 156, 503, 990 using Prime Factorization

Given Input Data is 36, 156, 503, 990

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 503 is 503

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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

Finding GCD of 36, 156, 503, 990 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(36, 156) = 468

GCD(36, 156) = ( 36 x 156 ) / 468

GCD(36, 156) = 5616 / 468

GCD(36, 156) = 12


Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 503

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

LCM(12, 503) = 6036

GCD(12, 503) = ( 12 x 503 ) / 6036

GCD(12, 503) = 6036 / 6036

GCD(12, 503) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 36, 156, 503, 990 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 36, 156, 503, 990

1. What is the GCD of 36, 156, 503, 990?

GCD of 36, 156, 503, 990 is 1


2. Where do I get the detailed procedure to find GCD of 36, 156, 503, 990?

You can find a detailed procedure to find GCD of 36, 156, 503, 990 on our page.


3. How to find GCD of 36, 156, 503, 990 on a calculator?

You can find the GCD of 36, 156, 503, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.