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 392, 777, 38, 866 i.e. 1 largest integer that divides all the numbers equally.
GCD of 392, 777, 38, 866 is 1
GCD(392, 777, 38, 866) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 392, 777, 38, 866 is 1
GCD(392, 777, 38, 866) = 1
Given Input numbers are 392, 777, 38, 866
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
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 392, 777, 38, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 777, 38, 866 is 1.
Therefore, GCD of numbers 392, 777, 38, 866 is 1
Given Input Data is 392, 777, 38, 866
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 38 is 2 x 19
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(392, 777) = 43512
GCD(392, 777) = ( 392 x 777 ) / 43512
GCD(392, 777) = 304584 / 43512
GCD(392, 777) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 38) = 266
GCD(7, 38) = ( 7 x 38 ) / 266
GCD(7, 38) = 266 / 266
GCD(7, 38) = 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 392, 777, 38, 866 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 392, 777, 38, 866?
GCD of 392, 777, 38, 866 is 1
2. Where do I get the detailed procedure to find GCD of 392, 777, 38, 866?
You can find a detailed procedure to find GCD of 392, 777, 38, 866 on our page.
3. How to find GCD of 392, 777, 38, 866 on a calculator?
You can find the GCD of 392, 777, 38, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.