GCD of 432, 528, 312 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 432, 528, 312 quickly. Get the easiest ways to solve the greatest common divisor of 432, 528, 312 i.e 24 in different methods as follows.
Given Input numbers are 432, 528, 312
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 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (432, 528, 312) = 24.
Given numbers are 432, 528, 312
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 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 23 x 31
Therefore, GCD of 432, 528, 312 is 24.
Steps to Calculate GCD of 432, 528, 312 using LCM Formula
Given numbers are 432, 528, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 528) = 4752
GCD(432, 528) = ( 432 x 528 ) / 4752
= 432 / 528
= 432
Step2:
LCM(48, 312) = 624
GCD(48, 312) = ( 48 x 312 ) / 624
= 48 / 312
= 48
So, Greatest Common Divisor of 432, 528, 312 is 24
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 432, 528, 312
Given numbers are 432, 528, 312
The greatest common divisor of numbers 432, 528, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 528, 312 is 24.
FAQs on GCD of 432, 528, 312 Calculator
1. What is the GCD of 432, 528, 312?
GCD of given numbers 432, 528, 312 is 24
2. How to calculate the greatest common divisor of 432, 528, 312?
We can find the highest common divisor of 432, 528, 312 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, 528, 312 i.e 24.
3. How can I use the GCD of 432, 528, 312Calculator?
Out the numbers 432, 528, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.