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, 116, 32 i.e. 4 largest integer that divides all the numbers equally.
GCD of 204, 116, 32 is 4
GCD(204, 116, 32) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 204, 116, 32 is 4
GCD(204, 116, 32) = 4
Given Input numbers are 204, 116, 32
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 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Greatest Common Divisior
We found the divisors of 204, 116, 32 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 116, 32 is 4.
Therefore, GCD of numbers 204, 116, 32 is 4
Given Input Data is 204, 116, 32
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 116 is 2 x 2 x 29
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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, 116) = 5916
GCD(204, 116) = ( 204 x 116 ) / 5916
GCD(204, 116) = 23664 / 5916
GCD(204, 116) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 32) = 32
GCD(4, 32) = ( 4 x 32 ) / 32
GCD(4, 32) = 128 / 32
GCD(4, 32) = 4
GCD of 204, 116, 32 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 204, 116, 32?
GCD of 204, 116, 32 is 4
2. Where do I get the detailed procedure to find GCD of 204, 116, 32?
You can find a detailed procedure to find GCD of 204, 116, 32 on our page.
3. How to find GCD of 204, 116, 32 on a calculator?
You can find the GCD of 204, 116, 32 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.