GCD of 363, 255, 212 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 363, 255, 212 i.e. 1 largest integer that divides all the numbers equally.

GCD of 363, 255, 212 is 1

GCD(363, 255, 212) = 1

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

GCD of

GCD of numbers 363, 255, 212 is 1

GCD(363, 255, 212) = 1

GCD of 363,255,212 Calculator

GCDof 363,255,212 is 1

Given Input numbers are 363, 255, 212

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 363, 255, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 255, 212 is 1.

Therefore, GCD of numbers 363, 255, 212 is 1

Finding GCD of 363, 255, 212 using Prime Factorization

Given Input Data is 363, 255, 212

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 212 is 2 x 2 x 53

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

Finding GCD of 363, 255, 212 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(363, 255) = 30855

GCD(363, 255) = ( 363 x 255 ) / 30855

GCD(363, 255) = 92565 / 30855

GCD(363, 255) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 212

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

LCM(3, 212) = 636

GCD(3, 212) = ( 3 x 212 ) / 636

GCD(3, 212) = 636 / 636

GCD(3, 212) = 1

GCD of 363, 255, 212 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 363, 255, 212

1. What is the GCD of 363, 255, 212?

GCD of 363, 255, 212 is 1


2. Where do I get the detailed procedure to find GCD of 363, 255, 212?

You can find a detailed procedure to find GCD of 363, 255, 212 on our page.


3. How to find GCD of 363, 255, 212 on a calculator?

You can find the GCD of 363, 255, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.