GCD of 432, 972, 504 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 432, 972, 504 quickly. Get the easiest ways to solve the greatest common divisor of 432, 972, 504 i.e 36 in different methods as follows.
Given Input numbers are 432, 972, 504
In the factoring method, we have to find the divisors of all numbers
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
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 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
GCD of numbers is the greatest common divisor
So, the GCD (432, 972, 504) = 36.
Given numbers are 432, 972, 504
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
The highest common occurrence is 22 x 32
Therefore, GCD of 432, 972, 504 is 36.
Steps to Calculate GCD of 432, 972, 504 using LCM Formula
Given numbers are 432, 972, 504
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 972) = 3888
GCD(432, 972) = ( 432 x 972 ) / 3888
= 432 / 972
= 432
Step2:
LCM(108, 504) = 1512
GCD(108, 504) = ( 108 x 504 ) / 1512
= 108 / 504
= 108
So, Greatest Common Divisor of 432, 972, 504 is 36
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 432, 972, 504
Given numbers are 432, 972, 504
The greatest common divisor of numbers 432, 972, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 972, 504 is 36.
FAQs on GCD of 432, 972, 504 Calculator
1. What is the GCD of 432, 972, 504?
GCD of given numbers 432, 972, 504 is 36
2. How to calculate the greatest common divisor of 432, 972, 504?
We can find the highest common divisor of 432, 972, 504 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 432, 972, 504 i.e 36.
3. How can I use the GCD of 432, 972, 504Calculator?
Out the numbers 432, 972, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.