GCD of 189, 972, 432 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 189, 972, 432 quickly. Get the easiest ways to solve the greatest common divisor of 189, 972, 432 i.e 27 in different methods as follows.
Given Input numbers are 189, 972, 432
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
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 (189, 972, 432) = 27.
Given numbers are 189, 972, 432
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 972 are 2 x 2 x 3 x 3 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 33
Therefore, GCD of 189, 972, 432 is 27.
Steps to Calculate GCD of 189, 972, 432 using LCM Formula
Given numbers are 189, 972, 432
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 972) = 6804
GCD(189, 972) = ( 189 x 972 ) / 6804
= 189 / 972
= 189
Step2:
LCM(27, 432) = 432
GCD(27, 432) = ( 27 x 432 ) / 432
= 27 / 432
= 27
So, Greatest Common Divisor of 189, 972, 432 is 27
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 189, 972, 432
Given numbers are 189, 972, 432
The greatest common divisor of numbers 189, 972, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 972, 432 is 27.
FAQs on GCD of 189, 972, 432 Calculator
1. What is the GCD of 189, 972, 432?
GCD of given numbers 189, 972, 432 is 27
2. How to calculate the greatest common divisor of 189, 972, 432?
We can find the highest common divisor of 189, 972, 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 189, 972, 432 i.e 27.
3. How can I use the GCD of 189, 972, 432Calculator?
Out the numbers 189, 972, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.