GCD of 180, 216, 432 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 180, 216, 432 quickly. Get the easiest ways to solve the greatest common divisor of 180, 216, 432 i.e 36 in different methods as follows.
Given Input numbers are 180, 216, 432
In the factoring method, we have to find the divisors of all numbers
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 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
GCD of numbers is the greatest common divisor
So, the GCD (180, 216, 432) = 36.
Given numbers are 180, 216, 432
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 22 x 32
Therefore, GCD of 180, 216, 432 is 36.
Steps to Calculate GCD of 180, 216, 432 using LCM Formula
Given numbers are 180, 216, 432
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 216) = 1080
GCD(180, 216) = ( 180 x 216 ) / 1080
= 180 / 216
= 180
Step2:
LCM(36, 432) = 432
GCD(36, 432) = ( 36 x 432 ) / 432
= 36 / 432
= 36
So, Greatest Common Divisor of 180, 216, 432 is 36
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 180, 216, 432
Given numbers are 180, 216, 432
The greatest common divisor of numbers 180, 216, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 216, 432 is 36.
FAQs on GCD of 180, 216, 432 Calculator
1. What is the GCD of 180, 216, 432?
GCD of given numbers 180, 216, 432 is 36
2. How to calculate the greatest common divisor of 180, 216, 432?
We can find the highest common divisor of 180, 216, 432 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 180, 216, 432 i.e 36.
3. How can I use the GCD of 180, 216, 432Calculator?
Out the numbers 180, 216, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.