GCD of 382, 380, 339, 533 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 382, 380, 339, 533 i.e. 1 largest integer that divides all the numbers equally.

GCD of 382, 380, 339, 533 is 1

GCD(382, 380, 339, 533) = 1

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

GCD of

GCD of numbers 382, 380, 339, 533 is 1

GCD(382, 380, 339, 533) = 1

GCD of 382,380,339,533 Calculator

GCDof 382,380,339,533 is 1

Given Input numbers are 382, 380, 339, 533

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 382, 380, 339, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 380, 339, 533 is 1.

Therefore, GCD of numbers 382, 380, 339, 533 is 1

Finding GCD of 382, 380, 339, 533 using Prime Factorization

Given Input Data is 382, 380, 339, 533

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 339 is 3 x 113

Prime Factorization of 533 is 13 x 41

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

Finding GCD of 382, 380, 339, 533 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(382, 380) = 72580

GCD(382, 380) = ( 382 x 380 ) / 72580

GCD(382, 380) = 145160 / 72580

GCD(382, 380) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 339

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

LCM(2, 339) = 678

GCD(2, 339) = ( 2 x 339 ) / 678

GCD(2, 339) = 678 / 678

GCD(2, 339) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 533

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

LCM(1, 533) = 533

GCD(1, 533) = ( 1 x 533 ) / 533

GCD(1, 533) = 533 / 533

GCD(1, 533) = 1

GCD of 382, 380, 339, 533 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 382, 380, 339, 533

1. What is the GCD of 382, 380, 339, 533?

GCD of 382, 380, 339, 533 is 1


2. Where do I get the detailed procedure to find GCD of 382, 380, 339, 533?

You can find a detailed procedure to find GCD of 382, 380, 339, 533 on our page.


3. How to find GCD of 382, 380, 339, 533 on a calculator?

You can find the GCD of 382, 380, 339, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.