GCD of 32, 836, 328, 520 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 32, 836, 328, 520 i.e. 4 largest integer that divides all the numbers equally.

GCD of 32, 836, 328, 520 is 4

GCD(32, 836, 328, 520) = 4

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

GCD of

GCD of numbers 32, 836, 328, 520 is 4

GCD(32, 836, 328, 520) = 4

GCD of 32,836,328,520 Calculator

GCDof 32,836,328,520 is 4

Given Input numbers are 32, 836, 328, 520

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 32, 836, 328, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 836, 328, 520 is 4.

Therefore, GCD of numbers 32, 836, 328, 520 is 4

Finding GCD of 32, 836, 328, 520 using Prime Factorization

Given Input Data is 32, 836, 328, 520

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 32, 836, 328, 520 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(32, 836) = 6688

GCD(32, 836) = ( 32 x 836 ) / 6688

GCD(32, 836) = 26752 / 6688

GCD(32, 836) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 328

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

LCM(4, 328) = 328

GCD(4, 328) = ( 4 x 328 ) / 328

GCD(4, 328) = 1312 / 328

GCD(4, 328) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 520

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

LCM(4, 520) = 520

GCD(4, 520) = ( 4 x 520 ) / 520

GCD(4, 520) = 2080 / 520

GCD(4, 520) = 4

GCD of 32, 836, 328, 520 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 32, 836, 328, 520

1. What is the GCD of 32, 836, 328, 520?

GCD of 32, 836, 328, 520 is 4


2. Where do I get the detailed procedure to find GCD of 32, 836, 328, 520?

You can find a detailed procedure to find GCD of 32, 836, 328, 520 on our page.


3. How to find GCD of 32, 836, 328, 520 on a calculator?

You can find the GCD of 32, 836, 328, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.