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 204, 206, 331, 264 i.e. 1 largest integer that divides all the numbers equally.
GCD of 204, 206, 331, 264 is 1
GCD(204, 206, 331, 264) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 204, 206, 331, 264 is 1
GCD(204, 206, 331, 264) = 1
Given Input numbers are 204, 206, 331, 264
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Greatest Common Divisior
We found the divisors of 204, 206, 331, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 206, 331, 264 is 1.
Therefore, GCD of numbers 204, 206, 331, 264 is 1
Given Input Data is 204, 206, 331, 264
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 206 is 2 x 103
Prime Factorization of 331 is 331
Prime Factorization of 264 is 2 x 2 x 2 x 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(204, 206) = 21012
GCD(204, 206) = ( 204 x 206 ) / 21012
GCD(204, 206) = 42024 / 21012
GCD(204, 206) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 331) = 662
GCD(2, 331) = ( 2 x 331 ) / 662
GCD(2, 331) = 662 / 662
GCD(2, 331) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 1
GCD of 204, 206, 331, 264 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 204, 206, 331, 264?
GCD of 204, 206, 331, 264 is 1
2. Where do I get the detailed procedure to find GCD of 204, 206, 331, 264?
You can find a detailed procedure to find GCD of 204, 206, 331, 264 on our page.
3. How to find GCD of 204, 206, 331, 264 on a calculator?
You can find the GCD of 204, 206, 331, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.