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, 831, 66, 320 i.e. 1 largest integer that divides all the numbers equally.
GCD of 216, 831, 66, 320 is 1
GCD(216, 831, 66, 320) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 216, 831, 66, 320 is 1
GCD(216, 831, 66, 320) = 1
Given Input numbers are 216, 831, 66, 320
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 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Greatest Common Divisior
We found the divisors of 216, 831, 66, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 831, 66, 320 is 1.
Therefore, GCD of numbers 216, 831, 66, 320 is 1
Given Input Data is 216, 831, 66, 320
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 831 is 3 x 277
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
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, 831) = 59832
GCD(216, 831) = ( 216 x 831 ) / 59832
GCD(216, 831) = 179496 / 59832
GCD(216, 831) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 66) = 66
GCD(3, 66) = ( 3 x 66 ) / 66
GCD(3, 66) = 198 / 66
GCD(3, 66) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 320) = 960
GCD(3, 320) = ( 3 x 320 ) / 960
GCD(3, 320) = 960 / 960
GCD(3, 320) = 1
GCD of 216, 831, 66, 320 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 216, 831, 66, 320?
GCD of 216, 831, 66, 320 is 1
2. Where do I get the detailed procedure to find GCD of 216, 831, 66, 320?
You can find a detailed procedure to find GCD of 216, 831, 66, 320 on our page.
3. How to find GCD of 216, 831, 66, 320 on a calculator?
You can find the GCD of 216, 831, 66, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.