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, 109, 81, 184 i.e. 1 largest integer that divides all the numbers equally.
GCD of 303, 109, 81, 184 is 1
GCD(303, 109, 81, 184) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 303, 109, 81, 184 is 1
GCD(303, 109, 81, 184) = 1
Given Input numbers are 303, 109, 81, 184
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 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Greatest Common Divisior
We found the divisors of 303, 109, 81, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 109, 81, 184 is 1.
Therefore, GCD of numbers 303, 109, 81, 184 is 1
Given Input Data is 303, 109, 81, 184
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 303 is 3 x 101
Prime Factorization of 109 is 109
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 184 is 2 x 2 x 2 x 23
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, 109) = 33027
GCD(303, 109) = ( 303 x 109 ) / 33027
GCD(303, 109) = 33027 / 33027
GCD(303, 109) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 81) = 81
GCD(1, 81) = ( 1 x 81 ) / 81
GCD(1, 81) = 81 / 81
GCD(1, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 184
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 184) = 184
GCD(1, 184) = ( 1 x 184 ) / 184
GCD(1, 184) = 184 / 184
GCD(1, 184) = 1
GCD of 303, 109, 81, 184 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 303, 109, 81, 184?
GCD of 303, 109, 81, 184 is 1
2. Where do I get the detailed procedure to find GCD of 303, 109, 81, 184?
You can find a detailed procedure to find GCD of 303, 109, 81, 184 on our page.
3. How to find GCD of 303, 109, 81, 184 on a calculator?
You can find the GCD of 303, 109, 81, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.