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 389, 973, 65, 286 i.e. 1 largest integer that divides all the numbers equally.
GCD of 389, 973, 65, 286 is 1
GCD(389, 973, 65, 286) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 389, 973, 65, 286 is 1
GCD(389, 973, 65, 286) = 1
Given Input numbers are 389, 973, 65, 286
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Greatest Common Divisior
We found the divisors of 389, 973, 65, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 973, 65, 286 is 1.
Therefore, GCD of numbers 389, 973, 65, 286 is 1
Given Input Data is 389, 973, 65, 286
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 389 is 389
Prime Factorization of 973 is 7 x 139
Prime Factorization of 65 is 5 x 13
Prime Factorization of 286 is 2 x 11 x 13
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(389, 973) = 378497
GCD(389, 973) = ( 389 x 973 ) / 378497
GCD(389, 973) = 378497 / 378497
GCD(389, 973) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 65) = 65
GCD(1, 65) = ( 1 x 65 ) / 65
GCD(1, 65) = 65 / 65
GCD(1, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 286
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 286) = 286
GCD(1, 286) = ( 1 x 286 ) / 286
GCD(1, 286) = 286 / 286
GCD(1, 286) = 1
GCD of 389, 973, 65, 286 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 389, 973, 65, 286?
GCD of 389, 973, 65, 286 is 1
2. Where do I get the detailed procedure to find GCD of 389, 973, 65, 286?
You can find a detailed procedure to find GCD of 389, 973, 65, 286 on our page.
3. How to find GCD of 389, 973, 65, 286 on a calculator?
You can find the GCD of 389, 973, 65, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.