GCD of 381, 468, 208, 392 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 381, 468, 208, 392 i.e. 1 largest integer that divides all the numbers equally.

GCD of 381, 468, 208, 392 is 1

GCD(381, 468, 208, 392) = 1

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

GCD of

GCD of numbers 381, 468, 208, 392 is 1

GCD(381, 468, 208, 392) = 1

GCD of 381,468,208,392 Calculator

GCDof 381,468,208,392 is 1

Given Input numbers are 381, 468, 208, 392

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 381, 468, 208, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 468, 208, 392 is 1.

Therefore, GCD of numbers 381, 468, 208, 392 is 1

Finding GCD of 381, 468, 208, 392 using Prime Factorization

Given Input Data is 381, 468, 208, 392

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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

Finding GCD of 381, 468, 208, 392 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(381, 468) = 59436

GCD(381, 468) = ( 381 x 468 ) / 59436

GCD(381, 468) = 178308 / 59436

GCD(381, 468) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 208

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

LCM(3, 208) = 624

GCD(3, 208) = ( 3 x 208 ) / 624

GCD(3, 208) = 624 / 624

GCD(3, 208) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 381, 468, 208, 392 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 381, 468, 208, 392

1. What is the GCD of 381, 468, 208, 392?

GCD of 381, 468, 208, 392 is 1


2. Where do I get the detailed procedure to find GCD of 381, 468, 208, 392?

You can find a detailed procedure to find GCD of 381, 468, 208, 392 on our page.


3. How to find GCD of 381, 468, 208, 392 on a calculator?

You can find the GCD of 381, 468, 208, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.