GCD of 332, 906, 50, 384 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 332, 906, 50, 384 i.e. 2 largest integer that divides all the numbers equally.

GCD of 332, 906, 50, 384 is 2

GCD(332, 906, 50, 384) = 2

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

GCD of

GCD of numbers 332, 906, 50, 384 is 2

GCD(332, 906, 50, 384) = 2

GCD of 332,906,50,384 Calculator

GCDof 332,906,50,384 is 2

Given Input numbers are 332, 906, 50, 384

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

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

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

Greatest Common Divisior

We found the divisors of 332, 906, 50, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 906, 50, 384 is 2.

Therefore, GCD of numbers 332, 906, 50, 384 is 2

Finding GCD of 332, 906, 50, 384 using Prime Factorization

Given Input Data is 332, 906, 50, 384

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

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 50 is 2 x 5 x 5

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

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 332, 906, 50, 384 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(332, 906) = 150396

GCD(332, 906) = ( 332 x 906 ) / 150396

GCD(332, 906) = 300792 / 150396

GCD(332, 906) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 384

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

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

GCD(2, 384) = 768 / 384

GCD(2, 384) = 2

GCD of 332, 906, 50, 384 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 332, 906, 50, 384

1. What is the GCD of 332, 906, 50, 384?

GCD of 332, 906, 50, 384 is 2


2. Where do I get the detailed procedure to find GCD of 332, 906, 50, 384?

You can find a detailed procedure to find GCD of 332, 906, 50, 384 on our page.


3. How to find GCD of 332, 906, 50, 384 on a calculator?

You can find the GCD of 332, 906, 50, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.