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 numbers 99, 403, 143, 331 is 1
GCD(99, 403, 143, 331) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.