GCD of 99, 403, 143, 331 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 99, 403, 143, 331 i.e. 1 largest integer that divides all the numbers equally.

GCD of 99, 403, 143, 331 is 1

GCD(99, 403, 143, 331) = 1

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

GCD of

GCD of numbers 99, 403, 143, 331 is 1

GCD(99, 403, 143, 331) = 1

GCD of 99,403,143,331 Calculator

GCDof 99,403,143,331 is 1

Given Input numbers are 99, 403, 143, 331

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 99, 403, 143, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 403, 143, 331 is 1.

Therefore, GCD of numbers 99, 403, 143, 331 is 1

Finding GCD of 99, 403, 143, 331 using Prime Factorization

Given Input Data is 99, 403, 143, 331

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 403 is 13 x 31

Prime Factorization of 143 is 11 x 13

Prime Factorization of 331 is 331

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

Finding GCD of 99, 403, 143, 331 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(99, 403) = 39897

GCD(99, 403) = ( 99 x 403 ) / 39897

GCD(99, 403) = 39897 / 39897

GCD(99, 403) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 99, 403, 143, 331 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 99, 403, 143, 331

1. What is the GCD of 99, 403, 143, 331?

GCD of 99, 403, 143, 331 is 1


2. Where do I get the detailed procedure to find GCD of 99, 403, 143, 331?

You can find a detailed procedure to find GCD of 99, 403, 143, 331 on our page.


3. How to find GCD of 99, 403, 143, 331 on a calculator?

You can find the GCD of 99, 403, 143, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.