GCD of 135, 999, 432 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 135, 999, 432 quickly. Get the easiest ways to solve the greatest common divisor of 135, 999, 432 i.e 27 in different methods as follows.
Given Input numbers are 135, 999, 432
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
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 (135, 999, 432) = 27.
Given numbers are 135, 999, 432
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 33
Therefore, GCD of 135, 999, 432 is 27.
Steps to Calculate GCD of 135, 999, 432 using LCM Formula
Given numbers are 135, 999, 432
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 999) = 4995
GCD(135, 999) = ( 135 x 999 ) / 4995
= 135 / 999
= 135
Step2:
LCM(27, 432) = 432
GCD(27, 432) = ( 27 x 432 ) / 432
= 27 / 432
= 27
So, Greatest Common Divisor of 135, 999, 432 is 27
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 135, 999, 432
Given numbers are 135, 999, 432
The greatest common divisor of numbers 135, 999, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 999, 432 is 27.
FAQs on GCD of 135, 999, 432 Calculator
1. What is the GCD of 135, 999, 432?
GCD of given numbers 135, 999, 432 is 27
2. How to calculate the greatest common divisor of 135, 999, 432?
We can find the highest common divisor of 135, 999, 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 135, 999, 432 i.e 27.
3. How can I use the GCD of 135, 999, 432Calculator?
Out the numbers 135, 999, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.