GCD of 331, 384, 404, 546 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 331, 384, 404, 546 i.e. 1 largest integer that divides all the numbers equally.

GCD of 331, 384, 404, 546 is 1

GCD(331, 384, 404, 546) = 1

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

GCD of

GCD of numbers 331, 384, 404, 546 is 1

GCD(331, 384, 404, 546) = 1

GCD of 331,384,404,546 Calculator

GCDof 331,384,404,546 is 1

Given Input numbers are 331, 384, 404, 546

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

Divisors of 331

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

1, 331

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 331, 384, 404, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 384, 404, 546 is 1.

Therefore, GCD of numbers 331, 384, 404, 546 is 1

Finding GCD of 331, 384, 404, 546 using Prime Factorization

Given Input Data is 331, 384, 404, 546

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

Prime Factorization of 331 is 331

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 546 is 2 x 3 x 7 x 13

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

Finding GCD of 331, 384, 404, 546 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(331, 384) = 127104

GCD(331, 384) = ( 331 x 384 ) / 127104

GCD(331, 384) = 127104 / 127104

GCD(331, 384) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 331, 384, 404, 546 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 331, 384, 404, 546

1. What is the GCD of 331, 384, 404, 546?

GCD of 331, 384, 404, 546 is 1


2. Where do I get the detailed procedure to find GCD of 331, 384, 404, 546?

You can find a detailed procedure to find GCD of 331, 384, 404, 546 on our page.


3. How to find GCD of 331, 384, 404, 546 on a calculator?

You can find the GCD of 331, 384, 404, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.