GCD of 311, 729, 86, 663 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 311, 729, 86, 663 i.e. 1 largest integer that divides all the numbers equally.

GCD of 311, 729, 86, 663 is 1

GCD(311, 729, 86, 663) = 1

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

GCD of

GCD of numbers 311, 729, 86, 663 is 1

GCD(311, 729, 86, 663) = 1

GCD of 311,729,86,663 Calculator

GCDof 311,729,86,663 is 1

Given Input numbers are 311, 729, 86, 663

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 311, 729, 86, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 729, 86, 663 is 1.

Therefore, GCD of numbers 311, 729, 86, 663 is 1

Finding GCD of 311, 729, 86, 663 using Prime Factorization

Given Input Data is 311, 729, 86, 663

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

Prime Factorization of 311 is 311

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 86 is 2 x 43

Prime Factorization of 663 is 3 x 13 x 17

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

Finding GCD of 311, 729, 86, 663 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(311, 729) = 226719

GCD(311, 729) = ( 311 x 729 ) / 226719

GCD(311, 729) = 226719 / 226719

GCD(311, 729) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

GCD of 311, 729, 86, 663 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 311, 729, 86, 663

1. What is the GCD of 311, 729, 86, 663?

GCD of 311, 729, 86, 663 is 1


2. Where do I get the detailed procedure to find GCD of 311, 729, 86, 663?

You can find a detailed procedure to find GCD of 311, 729, 86, 663 on our page.


3. How to find GCD of 311, 729, 86, 663 on a calculator?

You can find the GCD of 311, 729, 86, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.