GCD of 180, 349, 333 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 180, 349, 333 i.e. 1 largest integer that divides all the numbers equally.

GCD of 180, 349, 333 is 1

GCD(180, 349, 333) = 1

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

GCD of

GCD of numbers 180, 349, 333 is 1

GCD(180, 349, 333) = 1

GCD of 180,349,333 Calculator

GCDof 180,349,333 is 1

Given Input numbers are 180, 349, 333

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 333

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

1, 3, 9, 37, 111, 333

Greatest Common Divisior

We found the divisors of 180, 349, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 349, 333 is 1.

Therefore, GCD of numbers 180, 349, 333 is 1

Finding GCD of 180, 349, 333 using Prime Factorization

Given Input Data is 180, 349, 333

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 349 is 349

Prime Factorization of 333 is 3 x 3 x 37

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

Finding GCD of 180, 349, 333 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(180, 349) = 62820

GCD(180, 349) = ( 180 x 349 ) / 62820

GCD(180, 349) = 62820 / 62820

GCD(180, 349) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 333

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

LCM(1, 333) = 333

GCD(1, 333) = ( 1 x 333 ) / 333

GCD(1, 333) = 333 / 333

GCD(1, 333) = 1

GCD of 180, 349, 333 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 180, 349, 333

1. What is the GCD of 180, 349, 333?

GCD of 180, 349, 333 is 1


2. Where do I get the detailed procedure to find GCD of 180, 349, 333?

You can find a detailed procedure to find GCD of 180, 349, 333 on our page.


3. How to find GCD of 180, 349, 333 on a calculator?

You can find the GCD of 180, 349, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.