GCD of 726, 221, 808 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 726, 221, 808 i.e. 1 largest integer that divides all the numbers equally.

GCD of 726, 221, 808 is 1

GCD(726, 221, 808) = 1

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

GCD of

GCD of numbers 726, 221, 808 is 1

GCD(726, 221, 808) = 1

GCD of 726,221,808 Calculator

GCDof 726,221,808 is 1

Given Input numbers are 726, 221, 808

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 726, 221, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 221, 808 is 1.

Therefore, GCD of numbers 726, 221, 808 is 1

Finding GCD of 726, 221, 808 using Prime Factorization

Given Input Data is 726, 221, 808

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 221 is 13 x 17

Prime Factorization of 808 is 2 x 2 x 2 x 101

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

Finding GCD of 726, 221, 808 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(726, 221) = 160446

GCD(726, 221) = ( 726 x 221 ) / 160446

GCD(726, 221) = 160446 / 160446

GCD(726, 221) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 726, 221, 808 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 726, 221, 808

1. What is the GCD of 726, 221, 808?

GCD of 726, 221, 808 is 1


2. Where do I get the detailed procedure to find GCD of 726, 221, 808?

You can find a detailed procedure to find GCD of 726, 221, 808 on our page.


3. How to find GCD of 726, 221, 808 on a calculator?

You can find the GCD of 726, 221, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.