GCD of 503, 918, 33 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 503, 918, 33 i.e. 1 largest integer that divides all the numbers equally.

GCD of 503, 918, 33 is 1

GCD(503, 918, 33) = 1

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

GCD of

GCD of numbers 503, 918, 33 is 1

GCD(503, 918, 33) = 1

GCD of 503,918,33 Calculator

GCDof 503,918,33 is 1

Given Input numbers are 503, 918, 33

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

Divisors of 503

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

1, 503

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Greatest Common Divisior

We found the divisors of 503, 918, 33 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 918, 33 is 1.

Therefore, GCD of numbers 503, 918, 33 is 1

Finding GCD of 503, 918, 33 using Prime Factorization

Given Input Data is 503, 918, 33

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

Prime Factorization of 503 is 503

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 33 is 3 x 11

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

Finding GCD of 503, 918, 33 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(503, 918) = 461754

GCD(503, 918) = ( 503 x 918 ) / 461754

GCD(503, 918) = 461754 / 461754

GCD(503, 918) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

GCD of 503, 918, 33 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 503, 918, 33

1. What is the GCD of 503, 918, 33?

GCD of 503, 918, 33 is 1


2. Where do I get the detailed procedure to find GCD of 503, 918, 33?

You can find a detailed procedure to find GCD of 503, 918, 33 on our page.


3. How to find GCD of 503, 918, 33 on a calculator?

You can find the GCD of 503, 918, 33 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.