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 747, 855, 866, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 855, 866, 392 is 1
GCD(747, 855, 866, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 855, 866, 392 is 1
GCD(747, 855, 866, 392) = 1
Given Input numbers are 747, 855, 866, 392
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
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
Greatest Common Divisior
We found the divisors of 747, 855, 866, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 855, 866, 392 is 1.
Therefore, GCD of numbers 747, 855, 866, 392 is 1
Given Input Data is 747, 855, 866, 392
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 866 is 2 x 433
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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(747, 855) = 70965
GCD(747, 855) = ( 747 x 855 ) / 70965
GCD(747, 855) = 638685 / 70965
GCD(747, 855) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 866
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 866) = 7794
GCD(9, 866) = ( 9 x 866 ) / 7794
GCD(9, 866) = 7794 / 7794
GCD(9, 866) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
GCD of 747, 855, 866, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 855, 866, 392?
GCD of 747, 855, 866, 392 is 1
2. Where do I get the detailed procedure to find GCD of 747, 855, 866, 392?
You can find a detailed procedure to find GCD of 747, 855, 866, 392 on our page.
3. How to find GCD of 747, 855, 866, 392 on a calculator?
You can find the GCD of 747, 855, 866, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.