GCD of 899, 363, 38, 195 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 899, 363, 38, 195 i.e. 1 largest integer that divides all the numbers equally.

GCD of 899, 363, 38, 195 is 1

GCD(899, 363, 38, 195) = 1

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

GCD of

GCD of numbers 899, 363, 38, 195 is 1

GCD(899, 363, 38, 195) = 1

GCD of 899,363,38,195 Calculator

GCDof 899,363,38,195 is 1

Given Input numbers are 899, 363, 38, 195

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 363

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

1, 3, 11, 33, 121, 363

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 899, 363, 38, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 363, 38, 195 is 1.

Therefore, GCD of numbers 899, 363, 38, 195 is 1

Finding GCD of 899, 363, 38, 195 using Prime Factorization

Given Input Data is 899, 363, 38, 195

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 38 is 2 x 19

Prime Factorization of 195 is 3 x 5 x 13

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

Finding GCD of 899, 363, 38, 195 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(899, 363) = 326337

GCD(899, 363) = ( 899 x 363 ) / 326337

GCD(899, 363) = 326337 / 326337

GCD(899, 363) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 195

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

LCM(1, 195) = 195

GCD(1, 195) = ( 1 x 195 ) / 195

GCD(1, 195) = 195 / 195

GCD(1, 195) = 1

GCD of 899, 363, 38, 195 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 899, 363, 38, 195

1. What is the GCD of 899, 363, 38, 195?

GCD of 899, 363, 38, 195 is 1


2. Where do I get the detailed procedure to find GCD of 899, 363, 38, 195?

You can find a detailed procedure to find GCD of 899, 363, 38, 195 on our page.


3. How to find GCD of 899, 363, 38, 195 on a calculator?

You can find the GCD of 899, 363, 38, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.