GCD of 827, 727, 12, 796 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 827, 727, 12, 796 i.e. 1 largest integer that divides all the numbers equally.

GCD of 827, 727, 12, 796 is 1

GCD(827, 727, 12, 796) = 1

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

GCD of

GCD of numbers 827, 727, 12, 796 is 1

GCD(827, 727, 12, 796) = 1

GCD of 827,727,12,796 Calculator

GCDof 827,727,12,796 is 1

Given Input numbers are 827, 727, 12, 796

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 827, 727, 12, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 727, 12, 796 is 1.

Therefore, GCD of numbers 827, 727, 12, 796 is 1

Finding GCD of 827, 727, 12, 796 using Prime Factorization

Given Input Data is 827, 727, 12, 796

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

Prime Factorization of 827 is 827

Prime Factorization of 727 is 727

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 796 is 2 x 2 x 199

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

Finding GCD of 827, 727, 12, 796 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(827, 727) = 601229

GCD(827, 727) = ( 827 x 727 ) / 601229

GCD(827, 727) = 601229 / 601229

GCD(827, 727) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 827, 727, 12, 796 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 827, 727, 12, 796

1. What is the GCD of 827, 727, 12, 796?

GCD of 827, 727, 12, 796 is 1


2. Where do I get the detailed procedure to find GCD of 827, 727, 12, 796?

You can find a detailed procedure to find GCD of 827, 727, 12, 796 on our page.


3. How to find GCD of 827, 727, 12, 796 on a calculator?

You can find the GCD of 827, 727, 12, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.