GCD of 381, 675, 39, 452 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, 675, 39, 452 i.e. 1 largest integer that divides all the numbers equally.

GCD of 381, 675, 39, 452 is 1

GCD(381, 675, 39, 452) = 1

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

GCD of

GCD of numbers 381, 675, 39, 452 is 1

GCD(381, 675, 39, 452) = 1

GCD of 381,675,39,452 Calculator

GCDof 381,675,39,452 is 1

Given Input numbers are 381, 675, 39, 452

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 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 381, 675, 39, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 675, 39, 452 is 1.

Therefore, GCD of numbers 381, 675, 39, 452 is 1

Finding GCD of 381, 675, 39, 452 using Prime Factorization

Given Input Data is 381, 675, 39, 452

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 39 is 3 x 13

Prime Factorization of 452 is 2 x 2 x 113

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

Finding GCD of 381, 675, 39, 452 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, 675) = 85725

GCD(381, 675) = ( 381 x 675 ) / 85725

GCD(381, 675) = 257175 / 85725

GCD(381, 675) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 39

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

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

GCD(3, 39) = 117 / 39

GCD(3, 39) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 452

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

LCM(3, 452) = 1356

GCD(3, 452) = ( 3 x 452 ) / 1356

GCD(3, 452) = 1356 / 1356

GCD(3, 452) = 1

GCD of 381, 675, 39, 452 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 381, 675, 39, 452

1. What is the GCD of 381, 675, 39, 452?

GCD of 381, 675, 39, 452 is 1


2. Where do I get the detailed procedure to find GCD of 381, 675, 39, 452?

You can find a detailed procedure to find GCD of 381, 675, 39, 452 on our page.


3. How to find GCD of 381, 675, 39, 452 on a calculator?

You can find the GCD of 381, 675, 39, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.