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 303, 816, 99, 382 i.e. 1 largest integer that divides all the numbers equally.
GCD of 303, 816, 99, 382 is 1
GCD(303, 816, 99, 382) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 303, 816, 99, 382 is 1
GCD(303, 816, 99, 382) = 1
Given Input numbers are 303, 816, 99, 382
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Greatest Common Divisior
We found the divisors of 303, 816, 99, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 816, 99, 382 is 1.
Therefore, GCD of numbers 303, 816, 99, 382 is 1
Given Input Data is 303, 816, 99, 382
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 303 is 3 x 101
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 382 is 2 x 191
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(303, 816) = 82416
GCD(303, 816) = ( 303 x 816 ) / 82416
GCD(303, 816) = 247248 / 82416
GCD(303, 816) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 99) = 99
GCD(3, 99) = ( 3 x 99 ) / 99
GCD(3, 99) = 297 / 99
GCD(3, 99) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 382) = 1146
GCD(3, 382) = ( 3 x 382 ) / 1146
GCD(3, 382) = 1146 / 1146
GCD(3, 382) = 1
GCD of 303, 816, 99, 382 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 303, 816, 99, 382?
GCD of 303, 816, 99, 382 is 1
2. Where do I get the detailed procedure to find GCD of 303, 816, 99, 382?
You can find a detailed procedure to find GCD of 303, 816, 99, 382 on our page.
3. How to find GCD of 303, 816, 99, 382 on a calculator?
You can find the GCD of 303, 816, 99, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.