GCD of 228, 120, 720 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 228, 120, 720 quickly. Get the easiest ways to solve the greatest common divisor of 228, 120, 720 i.e 12 in different methods as follows.
Given Input numbers are 228, 120, 720
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (228, 120, 720) = 12.
Given numbers are 228, 120, 720
The list of prime factors of all numbers are
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 22 x 31
Therefore, GCD of 228, 120, 720 is 12.
Steps to Calculate GCD of 228, 120, 720 using LCM Formula
Given numbers are 228, 120, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(228, 120) = 2280
GCD(228, 120) = ( 228 x 120 ) / 2280
= 228 / 120
= 228
Step2:
LCM(12, 720) = 720
GCD(12, 720) = ( 12 x 720 ) / 720
= 12 / 720
= 12
So, Greatest Common Divisor of 228, 120, 720 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 228, 120, 720
Given numbers are 228, 120, 720
The greatest common divisor of numbers 228, 120, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 120, 720 is 12.
FAQs on GCD of 228, 120, 720 Calculator
1. What is the GCD of 228, 120, 720?
GCD of given numbers 228, 120, 720 is 12
2. How to calculate the greatest common divisor of 228, 120, 720?
We can find the highest common divisor of 228, 120, 720 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, 120, 720 i.e 12.
3. How can I use the GCD of 228, 120, 720Calculator?
Out the numbers 228, 120, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.