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 270, 243, 234, 449 i.e. 1 largest integer that divides all the numbers equally.
GCD of 270, 243, 234, 449 is 1
GCD(270, 243, 234, 449) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 243, 234, 449 is 1
GCD(270, 243, 234, 449) = 1
Given Input numbers are 270, 243, 234, 449
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Greatest Common Divisior
We found the divisors of 270, 243, 234, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 243, 234, 449 is 1.
Therefore, GCD of numbers 270, 243, 234, 449 is 1
Given Input Data is 270, 243, 234, 449
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 449 is 449
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(270, 243) = 2430
GCD(270, 243) = ( 270 x 243 ) / 2430
GCD(270, 243) = 65610 / 2430
GCD(270, 243) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 234) = 702
GCD(27, 234) = ( 27 x 234 ) / 702
GCD(27, 234) = 6318 / 702
GCD(27, 234) = 9
Step3:
Here we consider the GCD from the above i.e. 9 as first number and the next as 449
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 449) = 4041
GCD(9, 449) = ( 9 x 449 ) / 4041
GCD(9, 449) = 4041 / 4041
GCD(9, 449) = 1
GCD of 270, 243, 234, 449 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 270, 243, 234, 449?
GCD of 270, 243, 234, 449 is 1
2. Where do I get the detailed procedure to find GCD of 270, 243, 234, 449?
You can find a detailed procedure to find GCD of 270, 243, 234, 449 on our page.
3. How to find GCD of 270, 243, 234, 449 on a calculator?
You can find the GCD of 270, 243, 234, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.