GCD of 726, 667, 802, 133 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, 667, 802, 133 i.e. 1 largest integer that divides all the numbers equally.

GCD of 726, 667, 802, 133 is 1

GCD(726, 667, 802, 133) = 1

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

GCD of

GCD of numbers 726, 667, 802, 133 is 1

GCD(726, 667, 802, 133) = 1

GCD of 726,667,802,133 Calculator

GCDof 726,667,802,133 is 1

Given Input numbers are 726, 667, 802, 133

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 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 726, 667, 802, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 667, 802, 133 is 1.

Therefore, GCD of numbers 726, 667, 802, 133 is 1

Finding GCD of 726, 667, 802, 133 using Prime Factorization

Given Input Data is 726, 667, 802, 133

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 667 is 23 x 29

Prime Factorization of 802 is 2 x 401

Prime Factorization of 133 is 7 x 19

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

Finding GCD of 726, 667, 802, 133 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, 667) = 484242

GCD(726, 667) = ( 726 x 667 ) / 484242

GCD(726, 667) = 484242 / 484242

GCD(726, 667) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 726, 667, 802, 133 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 726, 667, 802, 133

1. What is the GCD of 726, 667, 802, 133?

GCD of 726, 667, 802, 133 is 1


2. Where do I get the detailed procedure to find GCD of 726, 667, 802, 133?

You can find a detailed procedure to find GCD of 726, 667, 802, 133 on our page.


3. How to find GCD of 726, 667, 802, 133 on a calculator?

You can find the GCD of 726, 667, 802, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.