GCD of 576, 180, 204 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 576, 180, 204 quickly. Get the easiest ways to solve the greatest common divisor of 576, 180, 204 i.e 12 in different methods as follows.
Given Input numbers are 576, 180, 204
In the factoring method, we have to find the divisors of all numbers
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
GCD of numbers is the greatest common divisor
So, the GCD (576, 180, 204) = 12.
Given numbers are 576, 180, 204
The list of prime factors of all numbers are
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 204 are 2 x 2 x 3 x 17
The highest common occurrence is 22 x 31
Therefore, GCD of 576, 180, 204 is 12.
Steps to Calculate GCD of 576, 180, 204 using LCM Formula
Given numbers are 576, 180, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(576, 180) = 2880
GCD(576, 180) = ( 576 x 180 ) / 2880
= 576 / 180
= 576
Step2:
LCM(36, 204) = 612
GCD(36, 204) = ( 36 x 204 ) / 612
= 36 / 204
= 36
So, Greatest Common Divisor of 576, 180, 204 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 576, 180, 204
Given numbers are 576, 180, 204
The greatest common divisor of numbers 576, 180, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 180, 204 is 12.
FAQs on GCD of 576, 180, 204 Calculator
1. What is the GCD of 576, 180, 204?
GCD of given numbers 576, 180, 204 is 12
2. How to calculate the greatest common divisor of 576, 180, 204?
We can find the highest common divisor of 576, 180, 204 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 576, 180, 204 i.e 12.
3. How can I use the GCD of 576, 180, 204Calculator?
Out the numbers 576, 180, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.