GCD of 332, 214, 39, 532 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, 214, 39, 532 i.e. 1 largest integer that divides all the numbers equally.

GCD of 332, 214, 39, 532 is 1

GCD(332, 214, 39, 532) = 1

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

GCD of

GCD of numbers 332, 214, 39, 532 is 1

GCD(332, 214, 39, 532) = 1

GCD of 332,214,39,532 Calculator

GCDof 332,214,39,532 is 1

Given Input numbers are 332, 214, 39, 532

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 332, 214, 39, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 214, 39, 532 is 1.

Therefore, GCD of numbers 332, 214, 39, 532 is 1

Finding GCD of 332, 214, 39, 532 using Prime Factorization

Given Input Data is 332, 214, 39, 532

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 214 is 2 x 107

Prime Factorization of 39 is 3 x 13

Prime Factorization of 532 is 2 x 2 x 7 x 19

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

Finding GCD of 332, 214, 39, 532 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, 214) = 35524

GCD(332, 214) = ( 332 x 214 ) / 35524

GCD(332, 214) = 71048 / 35524

GCD(332, 214) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 332, 214, 39, 532 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 332, 214, 39, 532

1. What is the GCD of 332, 214, 39, 532?

GCD of 332, 214, 39, 532 is 1


2. Where do I get the detailed procedure to find GCD of 332, 214, 39, 532?

You can find a detailed procedure to find GCD of 332, 214, 39, 532 on our page.


3. How to find GCD of 332, 214, 39, 532 on a calculator?

You can find the GCD of 332, 214, 39, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.