GCD of 387, 363, 41, 412 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 387, 363, 41, 412 i.e. 1 largest integer that divides all the numbers equally.

GCD of 387, 363, 41, 412 is 1

GCD(387, 363, 41, 412) = 1

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

GCD of

GCD of numbers 387, 363, 41, 412 is 1

GCD(387, 363, 41, 412) = 1

GCD of 387,363,41,412 Calculator

GCDof 387,363,41,412 is 1

Given Input numbers are 387, 363, 41, 412

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 363

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

1, 3, 11, 33, 121, 363

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 387, 363, 41, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 363, 41, 412 is 1.

Therefore, GCD of numbers 387, 363, 41, 412 is 1

Finding GCD of 387, 363, 41, 412 using Prime Factorization

Given Input Data is 387, 363, 41, 412

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 41 is 41

Prime Factorization of 412 is 2 x 2 x 103

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

Finding GCD of 387, 363, 41, 412 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(387, 363) = 46827

GCD(387, 363) = ( 387 x 363 ) / 46827

GCD(387, 363) = 140481 / 46827

GCD(387, 363) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

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

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 387, 363, 41, 412 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 387, 363, 41, 412

1. What is the GCD of 387, 363, 41, 412?

GCD of 387, 363, 41, 412 is 1


2. Where do I get the detailed procedure to find GCD of 387, 363, 41, 412?

You can find a detailed procedure to find GCD of 387, 363, 41, 412 on our page.


3. How to find GCD of 387, 363, 41, 412 on a calculator?

You can find the GCD of 387, 363, 41, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.