GCD of 399, 380, 331 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 399, 380, 331 i.e. 1 largest integer that divides all the numbers equally.

GCD of 399, 380, 331 is 1

GCD(399, 380, 331) = 1

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

GCD of

GCD of numbers 399, 380, 331 is 1

GCD(399, 380, 331) = 1

GCD of 399,380,331 Calculator

GCDof 399,380,331 is 1

Given Input numbers are 399, 380, 331

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

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 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 399, 380, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 380, 331 is 1.

Therefore, GCD of numbers 399, 380, 331 is 1

Finding GCD of 399, 380, 331 using Prime Factorization

Given Input Data is 399, 380, 331

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

Prime Factorization of 399 is 3 x 7 x 19

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

Prime Factorization of 331 is 331

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

Finding GCD of 399, 380, 331 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(399, 380) = 7980

GCD(399, 380) = ( 399 x 380 ) / 7980

GCD(399, 380) = 151620 / 7980

GCD(399, 380) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 331

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

LCM(19, 331) = 6289

GCD(19, 331) = ( 19 x 331 ) / 6289

GCD(19, 331) = 6289 / 6289

GCD(19, 331) = 1

GCD of 399, 380, 331 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 399, 380, 331

1. What is the GCD of 399, 380, 331?

GCD of 399, 380, 331 is 1

2. Where do I get the detailed procedure to find GCD of 399, 380, 331?

You can find a detailed procedure to find GCD of 399, 380, 331 on our page.

3. How to find GCD of 399, 380, 331 on a calculator?

You can find the GCD of 399, 380, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.