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 243, 268, 33 i.e. 1 largest integer that divides all the numbers equally.
GCD of 243, 268, 33 is 1
GCD(243, 268, 33) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 243, 268, 33 is 1
GCD(243, 268, 33) = 1
Given Input numbers are 243, 268, 33
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Greatest Common Divisior
We found the divisors of 243, 268, 33 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 268, 33 is 1.
Therefore, GCD of numbers 243, 268, 33 is 1
Given Input Data is 243, 268, 33
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 33 is 3 x 11
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(243, 268) = 65124
GCD(243, 268) = ( 243 x 268 ) / 65124
GCD(243, 268) = 65124 / 65124
GCD(243, 268) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 33) = 33
GCD(1, 33) = ( 1 x 33 ) / 33
GCD(1, 33) = 33 / 33
GCD(1, 33) = 1
GCD of 243, 268, 33 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 243, 268, 33?
GCD of 243, 268, 33 is 1
2. Where do I get the detailed procedure to find GCD of 243, 268, 33?
You can find a detailed procedure to find GCD of 243, 268, 33 on our page.
3. How to find GCD of 243, 268, 33 on a calculator?
You can find the GCD of 243, 268, 33 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.