GCD of 76, 836, 382, 652 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 76, 836, 382, 652 i.e. 2 largest integer that divides all the numbers equally.

GCD of 76, 836, 382, 652 is 2

GCD(76, 836, 382, 652) = 2

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

GCD of

GCD of numbers 76, 836, 382, 652 is 2

GCD(76, 836, 382, 652) = 2

GCD of 76,836,382,652 Calculator

GCDof 76,836,382,652 is 2

Given Input numbers are 76, 836, 382, 652

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 76, 836, 382, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 836, 382, 652 is 2.

Therefore, GCD of numbers 76, 836, 382, 652 is 2

Finding GCD of 76, 836, 382, 652 using Prime Factorization

Given Input Data is 76, 836, 382, 652

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

Prime Factorization of 76 is 2 x 2 x 19

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 652 is 2 x 2 x 163

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 76, 836, 382, 652 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(76, 836) = 836

GCD(76, 836) = ( 76 x 836 ) / 836

GCD(76, 836) = 63536 / 836

GCD(76, 836) = 76


Step2:

Here we consider the GCD from the above i.e. 76 as first number and the next as 382

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

LCM(76, 382) = 14516

GCD(76, 382) = ( 76 x 382 ) / 14516

GCD(76, 382) = 29032 / 14516

GCD(76, 382) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 652

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

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

GCD(2, 652) = 1304 / 652

GCD(2, 652) = 2

GCD of 76, 836, 382, 652 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 76, 836, 382, 652

1. What is the GCD of 76, 836, 382, 652?

GCD of 76, 836, 382, 652 is 2


2. Where do I get the detailed procedure to find GCD of 76, 836, 382, 652?

You can find a detailed procedure to find GCD of 76, 836, 382, 652 on our page.


3. How to find GCD of 76, 836, 382, 652 on a calculator?

You can find the GCD of 76, 836, 382, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.