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 330, 243, 453 i.e. 3 largest integer that divides all the numbers equally.
GCD of 330, 243, 453 is 3
GCD(330, 243, 453) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 330, 243, 453 is 3
GCD(330, 243, 453) = 3
Given Input numbers are 330, 243, 453
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Greatest Common Divisior
We found the divisors of 330, 243, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 243, 453 is 3.
Therefore, GCD of numbers 330, 243, 453 is 3
Given Input Data is 330, 243, 453
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 453 is 3 x 151
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(330, 243) = 26730
GCD(330, 243) = ( 330 x 243 ) / 26730
GCD(330, 243) = 80190 / 26730
GCD(330, 243) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 453
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 453) = 453
GCD(3, 453) = ( 3 x 453 ) / 453
GCD(3, 453) = 1359 / 453
GCD(3, 453) = 3
GCD of 330, 243, 453 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 330, 243, 453?
GCD of 330, 243, 453 is 3
2. Where do I get the detailed procedure to find GCD of 330, 243, 453?
You can find a detailed procedure to find GCD of 330, 243, 453 on our page.
3. How to find GCD of 330, 243, 453 on a calculator?
You can find the GCD of 330, 243, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.