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 386, 594, 309, 973 i.e. 1 largest integer that divides all the numbers equally.
GCD of 386, 594, 309, 973 is 1
GCD(386, 594, 309, 973) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 386, 594, 309, 973 is 1
GCD(386, 594, 309, 973) = 1
Given Input numbers are 386, 594, 309, 973
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Greatest Common Divisior
We found the divisors of 386, 594, 309, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 594, 309, 973 is 1.
Therefore, GCD of numbers 386, 594, 309, 973 is 1
Given Input Data is 386, 594, 309, 973
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 386 is 2 x 193
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 309 is 3 x 103
Prime Factorization of 973 is 7 x 139
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(386, 594) = 114642
GCD(386, 594) = ( 386 x 594 ) / 114642
GCD(386, 594) = 229284 / 114642
GCD(386, 594) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 309) = 618
GCD(2, 309) = ( 2 x 309 ) / 618
GCD(2, 309) = 618 / 618
GCD(2, 309) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 973
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 973) = 973
GCD(1, 973) = ( 1 x 973 ) / 973
GCD(1, 973) = 973 / 973
GCD(1, 973) = 1
GCD of 386, 594, 309, 973 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 386, 594, 309, 973?
GCD of 386, 594, 309, 973 is 1
2. Where do I get the detailed procedure to find GCD of 386, 594, 309, 973?
You can find a detailed procedure to find GCD of 386, 594, 309, 973 on our page.
3. How to find GCD of 386, 594, 309, 973 on a calculator?
You can find the GCD of 386, 594, 309, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.