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, 787, 721, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 216, 787, 721, 613 is 1
GCD(216, 787, 721, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 216, 787, 721, 613 is 1
GCD(216, 787, 721, 613) = 1
Given Input numbers are 216, 787, 721, 613
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 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Greatest Common Divisior
We found the divisors of 216, 787, 721, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 787, 721, 613 is 1.
Therefore, GCD of numbers 216, 787, 721, 613 is 1
Given Input Data is 216, 787, 721, 613
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 787 is 787
Prime Factorization of 721 is 7 x 103
Prime Factorization of 613 is 613
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, 787) = 169992
GCD(216, 787) = ( 216 x 787 ) / 169992
GCD(216, 787) = 169992 / 169992
GCD(216, 787) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
GCD(1, 721) = 721 / 721
GCD(1, 721) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 613) = 613
GCD(1, 613) = ( 1 x 613 ) / 613
GCD(1, 613) = 613 / 613
GCD(1, 613) = 1
GCD of 216, 787, 721, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 216, 787, 721, 613?
GCD of 216, 787, 721, 613 is 1
2. Where do I get the detailed procedure to find GCD of 216, 787, 721, 613?
You can find a detailed procedure to find GCD of 216, 787, 721, 613 on our page.
3. How to find GCD of 216, 787, 721, 613 on a calculator?
You can find the GCD of 216, 787, 721, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.