GCD of 228, 252, 312 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 228, 252, 312 quickly. Get the easiest ways to solve the greatest common divisor of 228, 252, 312 i.e 12 in different methods as follows.
Given Input numbers are 228, 252, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
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 (228, 252, 312) = 12.
Given numbers are 228, 252, 312
The list of prime factors of all numbers are
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 22 x 31
Therefore, GCD of 228, 252, 312 is 12.
Steps to Calculate GCD of 228, 252, 312 using LCM Formula
Given numbers are 228, 252, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(228, 252) = 4788
GCD(228, 252) = ( 228 x 252 ) / 4788
= 228 / 252
= 228
Step2:
LCM(12, 312) = 312
GCD(12, 312) = ( 12 x 312 ) / 312
= 12 / 312
= 12
So, Greatest Common Divisor of 228, 252, 312 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 228, 252, 312
Given numbers are 228, 252, 312
The greatest common divisor of numbers 228, 252, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 252, 312 is 12.
FAQs on GCD of 228, 252, 312 Calculator
1. What is the GCD of 228, 252, 312?
GCD of given numbers 228, 252, 312 is 12
2. How to calculate the greatest common divisor of 228, 252, 312?
We can find the highest common divisor of 228, 252, 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 228, 252, 312 i.e 12.
3. How can I use the GCD of 228, 252, 312Calculator?
Out the numbers 228, 252, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.