GCD of 204, 720, 456 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 204, 720, 456 quickly. Get the easiest ways to solve the greatest common divisor of 204, 720, 456 i.e 12 in different methods as follows.
Given Input numbers are 204, 720, 456
In the factoring method, we have to find the divisors of all numbers
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
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
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
GCD of numbers is the greatest common divisor
So, the GCD (204, 720, 456) = 12.
Given numbers are 204, 720, 456
The list of prime factors of all numbers are
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
The highest common occurrence is 22 x 31
Therefore, GCD of 204, 720, 456 is 12.
Steps to Calculate GCD of 204, 720, 456 using LCM Formula
Given numbers are 204, 720, 456
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(204, 720) = 12240
GCD(204, 720) = ( 204 x 720 ) / 12240
= 204 / 720
= 204
Step2:
LCM(12, 456) = 456
GCD(12, 456) = ( 12 x 456 ) / 456
= 12 / 456
= 12
So, Greatest Common Divisor of 204, 720, 456 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 204, 720, 456
Given numbers are 204, 720, 456
The greatest common divisor of numbers 204, 720, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 720, 456 is 12.
FAQs on GCD of 204, 720, 456 Calculator
1. What is the GCD of 204, 720, 456?
GCD of given numbers 204, 720, 456 is 12
2. How to calculate the greatest common divisor of 204, 720, 456?
We can find the highest common divisor of 204, 720, 456 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 204, 720, 456 i.e 12.
3. How can I use the GCD of 204, 720, 456Calculator?
Out the numbers 204, 720, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.