GCD of 333, 782, 538 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 333, 782, 538 i.e. 1 largest integer that divides all the numbers equally.

GCD of 333, 782, 538 is 1

GCD(333, 782, 538) = 1

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

GCD of

GCD of numbers 333, 782, 538 is 1

GCD(333, 782, 538) = 1

GCD of 333,782,538 Calculator

GCDof 333,782,538 is 1

Given Input numbers are 333, 782, 538

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

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 333, 782, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 782, 538 is 1.

Therefore, GCD of numbers 333, 782, 538 is 1

Finding GCD of 333, 782, 538 using Prime Factorization

Given Input Data is 333, 782, 538

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

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 538 is 2 x 269

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

Finding GCD of 333, 782, 538 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(333, 782) = 260406

GCD(333, 782) = ( 333 x 782 ) / 260406

GCD(333, 782) = 260406 / 260406

GCD(333, 782) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 333, 782, 538 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 333, 782, 538

1. What is the GCD of 333, 782, 538?

GCD of 333, 782, 538 is 1


2. Where do I get the detailed procedure to find GCD of 333, 782, 538?

You can find a detailed procedure to find GCD of 333, 782, 538 on our page.


3. How to find GCD of 333, 782, 538 on a calculator?

You can find the GCD of 333, 782, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.