Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 216, 216, 43, 471 i.e. 1 largest integer that divides all the numbers equally.
GCD of 216, 216, 43, 471 is 1
GCD(216, 216, 43, 471) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 216, 216, 43, 471 is 1
GCD(216, 216, 43, 471) = 1
Given Input numbers are 216, 216, 43, 471
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Greatest Common Divisior
We found the divisors of 216, 216, 43, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 216, 43, 471 is 1.
Therefore, GCD of numbers 216, 216, 43, 471 is 1
Given Input Data is 216, 216, 43, 471
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 43 is 43
Prime Factorization of 471 is 3 x 157
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(216, 216) = 216
GCD(216, 216) = ( 216 x 216 ) / 216
GCD(216, 216) = 46656 / 216
GCD(216, 216) = 216
Step2:
Here we consider the GCD from the above i.e. 216 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(216, 43) = 9288
GCD(216, 43) = ( 216 x 43 ) / 9288
GCD(216, 43) = 9288 / 9288
GCD(216, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 471
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 471) = 471
GCD(1, 471) = ( 1 x 471 ) / 471
GCD(1, 471) = 471 / 471
GCD(1, 471) = 1
GCD of 216, 216, 43, 471 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 216, 216, 43, 471?
GCD of 216, 216, 43, 471 is 1
2. Where do I get the detailed procedure to find GCD of 216, 216, 43, 471?
You can find a detailed procedure to find GCD of 216, 216, 43, 471 on our page.
3. How to find GCD of 216, 216, 43, 471 on a calculator?
You can find the GCD of 216, 216, 43, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.