GCD of 216, 450, 456 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 216, 450, 456 quickly. Get the easiest ways to solve the greatest common divisor of 216, 450, 456 i.e 6 in different methods as follows.
Given Input numbers are 216, 450, 456
In the factoring method, we have to find the divisors of all numbers
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
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 (216, 450, 456) = 6.
Given numbers are 216, 450, 456
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
The highest common occurrence is 21 x 31
Therefore, GCD of 216, 450, 456 is 6.
Steps to Calculate GCD of 216, 450, 456 using LCM Formula
Given numbers are 216, 450, 456
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 450) = 5400
GCD(216, 450) = ( 216 x 450 ) / 5400
= 216 / 450
= 216
Step2:
LCM(18, 456) = 1368
GCD(18, 456) = ( 18 x 456 ) / 1368
= 18 / 456
= 18
So, Greatest Common Divisor of 216, 450, 456 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 216, 450, 456
Given numbers are 216, 450, 456
The greatest common divisor of numbers 216, 450, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 450, 456 is 6.
FAQs on GCD of 216, 450, 456 Calculator
1. What is the GCD of 216, 450, 456?
GCD of given numbers 216, 450, 456 is 6
2. How to calculate the greatest common divisor of 216, 450, 456?
We can find the highest common divisor of 216, 450, 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 216, 450, 456 i.e 6.
3. How can I use the GCD of 216, 450, 456Calculator?
Out the numbers 216, 450, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.