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, 322, 236 i.e. 2 largest integer that divides all the numbers equally.
GCD of 216, 322, 236 is 2
GCD(216, 322, 236) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 216, 322, 236 is 2
GCD(216, 322, 236) = 2
Given Input numbers are 216, 322, 236
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 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Greatest Common Divisior
We found the divisors of 216, 322, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 322, 236 is 2.
Therefore, GCD of numbers 216, 322, 236 is 2
Given Input Data is 216, 322, 236
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 322 is 2 x 7 x 23
Prime Factorization of 236 is 2 x 2 x 59
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 322) = 34776
GCD(216, 322) = ( 216 x 322 ) / 34776
GCD(216, 322) = 69552 / 34776
GCD(216, 322) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 236) = 236
GCD(2, 236) = ( 2 x 236 ) / 236
GCD(2, 236) = 472 / 236
GCD(2, 236) = 2
GCD of 216, 322, 236 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 216, 322, 236?
GCD of 216, 322, 236 is 2
2. Where do I get the detailed procedure to find GCD of 216, 322, 236?
You can find a detailed procedure to find GCD of 216, 322, 236 on our page.
3. How to find GCD of 216, 322, 236 on a calculator?
You can find the GCD of 216, 322, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.