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 72, 778, 683, 866 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 778, 683, 866 is 1
GCD(72, 778, 683, 866) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 778, 683, 866 is 1
GCD(72, 778, 683, 866) = 1
Given Input numbers are 72, 778, 683, 866
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Greatest Common Divisior
We found the divisors of 72, 778, 683, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 778, 683, 866 is 1.
Therefore, GCD of numbers 72, 778, 683, 866 is 1
Given Input Data is 72, 778, 683, 866
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 778 is 2 x 389
Prime Factorization of 683 is 683
Prime Factorization of 866 is 2 x 433
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(72, 778) = 28008
GCD(72, 778) = ( 72 x 778 ) / 28008
GCD(72, 778) = 56016 / 28008
GCD(72, 778) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 683) = 1366
GCD(2, 683) = ( 2 x 683 ) / 1366
GCD(2, 683) = 1366 / 1366
GCD(2, 683) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 866
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 866) = 866
GCD(1, 866) = ( 1 x 866 ) / 866
GCD(1, 866) = 866 / 866
GCD(1, 866) = 1
GCD of 72, 778, 683, 866 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 778, 683, 866?
GCD of 72, 778, 683, 866 is 1
2. Where do I get the detailed procedure to find GCD of 72, 778, 683, 866?
You can find a detailed procedure to find GCD of 72, 778, 683, 866 on our page.
3. How to find GCD of 72, 778, 683, 866 on a calculator?
You can find the GCD of 72, 778, 683, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.