GCD of 470, 198, 216 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 470, 198, 216 quickly. Get the easiest ways to solve the greatest common divisor of 470, 198, 216 i.e 2 in different methods as follows.
Given Input numbers are 470, 198, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
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
GCD of numbers is the greatest common divisor
So, the GCD (470, 198, 216) = 2.
Given numbers are 470, 198, 216
The list of prime factors of all numbers are
Prime factors of 470 are 2 x 5 x 47
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 470, 198, 216 is 2.
Steps to Calculate GCD of 470, 198, 216 using LCM Formula
Given numbers are 470, 198, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(470, 198) = 46530
GCD(470, 198) = ( 470 x 198 ) / 46530
= 470 / 198
= 470
Step2:
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
= 2 / 216
= 2
So, Greatest Common Divisor of 470, 198, 216 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 470, 198, 216
Given numbers are 470, 198, 216
The greatest common divisor of numbers 470, 198, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 198, 216 is 2.
FAQs on GCD of 470, 198, 216 Calculator
1. What is the GCD of 470, 198, 216?
GCD of given numbers 470, 198, 216 is 2
2. How to calculate the greatest common divisor of 470, 198, 216?
We can find the highest common divisor of 470, 198, 216 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 470, 198, 216 i.e 2.
3. How can I use the GCD of 470, 198, 216Calculator?
Out the numbers 470, 198, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.