GCD of 195, 249, 48, 787 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 195, 249, 48, 787 i.e. 1 largest integer that divides all the numbers equally.

GCD of 195, 249, 48, 787 is 1

GCD(195, 249, 48, 787) = 1

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

GCD of

GCD of numbers 195, 249, 48, 787 is 1

GCD(195, 249, 48, 787) = 1

GCD of 195,249,48,787 Calculator

GCDof 195,249,48,787 is 1

Given Input numbers are 195, 249, 48, 787

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

Divisors of 195

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

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Greatest Common Divisior

We found the divisors of 195, 249, 48, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 249, 48, 787 is 1.

Therefore, GCD of numbers 195, 249, 48, 787 is 1

Finding GCD of 195, 249, 48, 787 using Prime Factorization

Given Input Data is 195, 249, 48, 787

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 249 is 3 x 83

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 787 is 787

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

Finding GCD of 195, 249, 48, 787 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(195, 249) = 16185

GCD(195, 249) = ( 195 x 249 ) / 16185

GCD(195, 249) = 48555 / 16185

GCD(195, 249) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 48

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

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

GCD(3, 48) = 144 / 48

GCD(3, 48) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 787

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

LCM(3, 787) = 2361

GCD(3, 787) = ( 3 x 787 ) / 2361

GCD(3, 787) = 2361 / 2361

GCD(3, 787) = 1

GCD of 195, 249, 48, 787 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 195, 249, 48, 787

1. What is the GCD of 195, 249, 48, 787?

GCD of 195, 249, 48, 787 is 1


2. Where do I get the detailed procedure to find GCD of 195, 249, 48, 787?

You can find a detailed procedure to find GCD of 195, 249, 48, 787 on our page.


3. How to find GCD of 195, 249, 48, 787 on a calculator?

You can find the GCD of 195, 249, 48, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.