GCD of 363, 245, 50 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, 245, 50 i.e. 1 largest integer that divides all the numbers equally.

GCD of 363, 245, 50 is 1

GCD(363, 245, 50) = 1

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

GCD of

GCD of numbers 363, 245, 50 is 1

GCD(363, 245, 50) = 1

GCD of 363,245,50 Calculator

GCDof 363,245,50 is 1

Given Input numbers are 363, 245, 50

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 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Greatest Common Divisior

We found the divisors of 363, 245, 50 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 245, 50 is 1.

Therefore, GCD of numbers 363, 245, 50 is 1

Finding GCD of 363, 245, 50 using Prime Factorization

Given Input Data is 363, 245, 50

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 245 is 5 x 7 x 7

Prime Factorization of 50 is 2 x 5 x 5

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

Finding GCD of 363, 245, 50 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, 245) = 88935

GCD(363, 245) = ( 363 x 245 ) / 88935

GCD(363, 245) = 88935 / 88935

GCD(363, 245) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

GCD of 363, 245, 50 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 363, 245, 50

1. What is the GCD of 363, 245, 50?

GCD of 363, 245, 50 is 1


2. Where do I get the detailed procedure to find GCD of 363, 245, 50?

You can find a detailed procedure to find GCD of 363, 245, 50 on our page.


3. How to find GCD of 363, 245, 50 on a calculator?

You can find the GCD of 363, 245, 50 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.