GCD of 152, 321, 38, 395 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 152, 321, 38, 395 i.e. 1 largest integer that divides all the numbers equally.

GCD of 152, 321, 38, 395 is 1

GCD(152, 321, 38, 395) = 1

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

GCD of

GCD of numbers 152, 321, 38, 395 is 1

GCD(152, 321, 38, 395) = 1

GCD of 152,321,38,395 Calculator

GCDof 152,321,38,395 is 1

Given Input numbers are 152, 321, 38, 395

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 38

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

1, 2, 19, 38

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 152, 321, 38, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 321, 38, 395 is 1.

Therefore, GCD of numbers 152, 321, 38, 395 is 1

Finding GCD of 152, 321, 38, 395 using Prime Factorization

Given Input Data is 152, 321, 38, 395

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 321 is 3 x 107

Prime Factorization of 38 is 2 x 19

Prime Factorization of 395 is 5 x 79

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

Finding GCD of 152, 321, 38, 395 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(152, 321) = 48792

GCD(152, 321) = ( 152 x 321 ) / 48792

GCD(152, 321) = 48792 / 48792

GCD(152, 321) = 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 395

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

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

GCD(1, 395) = 395 / 395

GCD(1, 395) = 1

GCD of 152, 321, 38, 395 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 152, 321, 38, 395

1. What is the GCD of 152, 321, 38, 395?

GCD of 152, 321, 38, 395 is 1


2. Where do I get the detailed procedure to find GCD of 152, 321, 38, 395?

You can find a detailed procedure to find GCD of 152, 321, 38, 395 on our page.


3. How to find GCD of 152, 321, 38, 395 on a calculator?

You can find the GCD of 152, 321, 38, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.