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 789, 317, 466, 666 i.e. 1 largest integer that divides all the numbers equally.
GCD of 789, 317, 466, 666 is 1
GCD(789, 317, 466, 666) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 789, 317, 466, 666 is 1
GCD(789, 317, 466, 666) = 1
Given Input numbers are 789, 317, 466, 666
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Greatest Common Divisior
We found the divisors of 789, 317, 466, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 317, 466, 666 is 1.
Therefore, GCD of numbers 789, 317, 466, 666 is 1
Given Input Data is 789, 317, 466, 666
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 789 is 3 x 263
Prime Factorization of 317 is 317
Prime Factorization of 466 is 2 x 233
Prime Factorization of 666 is 2 x 3 x 3 x 37
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(789, 317) = 250113
GCD(789, 317) = ( 789 x 317 ) / 250113
GCD(789, 317) = 250113 / 250113
GCD(789, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 466) = 466
GCD(1, 466) = ( 1 x 466 ) / 466
GCD(1, 466) = 466 / 466
GCD(1, 466) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 666
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 666) = 666
GCD(1, 666) = ( 1 x 666 ) / 666
GCD(1, 666) = 666 / 666
GCD(1, 666) = 1
GCD of 789, 317, 466, 666 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 789, 317, 466, 666?
GCD of 789, 317, 466, 666 is 1
2. Where do I get the detailed procedure to find GCD of 789, 317, 466, 666?
You can find a detailed procedure to find GCD of 789, 317, 466, 666 on our page.
3. How to find GCD of 789, 317, 466, 666 on a calculator?
You can find the GCD of 789, 317, 466, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.