GCD of 432, 624, 564 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 432, 624, 564 quickly. Get the easiest ways to solve the greatest common divisor of 432, 624, 564 i.e 12 in different methods as follows.
Given Input numbers are 432, 624, 564
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 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (432, 624, 564) = 12.
Given numbers are 432, 624, 564
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 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 22 x 31
Therefore, GCD of 432, 624, 564 is 12.
Steps to Calculate GCD of 432, 624, 564 using LCM Formula
Given numbers are 432, 624, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 624) = 5616
GCD(432, 624) = ( 432 x 624 ) / 5616
= 432 / 624
= 432
Step2:
LCM(48, 564) = 2256
GCD(48, 564) = ( 48 x 564 ) / 2256
= 48 / 564
= 48
So, Greatest Common Divisor of 432, 624, 564 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 432, 624, 564
Given numbers are 432, 624, 564
The greatest common divisor of numbers 432, 624, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 624, 564 is 12.
FAQs on GCD of 432, 624, 564 Calculator
1. What is the GCD of 432, 624, 564?
GCD of given numbers 432, 624, 564 is 12
2. How to calculate the greatest common divisor of 432, 624, 564?
We can find the highest common divisor of 432, 624, 564 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, 624, 564 i.e 12.
3. How can I use the GCD of 432, 624, 564Calculator?
Out the numbers 432, 624, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.