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 604, 138, 40, 389 i.e. 1 largest integer that divides all the numbers equally.
GCD of 604, 138, 40, 389 is 1
GCD(604, 138, 40, 389) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 604, 138, 40, 389 is 1
GCD(604, 138, 40, 389) = 1
Given Input numbers are 604, 138, 40, 389
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Greatest Common Divisior
We found the divisors of 604, 138, 40, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 138, 40, 389 is 1.
Therefore, GCD of numbers 604, 138, 40, 389 is 1
Given Input Data is 604, 138, 40, 389
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 389 is 389
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(604, 138) = 41676
GCD(604, 138) = ( 604 x 138 ) / 41676
GCD(604, 138) = 83352 / 41676
GCD(604, 138) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 40) = 40
GCD(2, 40) = ( 2 x 40 ) / 40
GCD(2, 40) = 80 / 40
GCD(2, 40) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 389) = 778
GCD(2, 389) = ( 2 x 389 ) / 778
GCD(2, 389) = 778 / 778
GCD(2, 389) = 1
GCD of 604, 138, 40, 389 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 604, 138, 40, 389?
GCD of 604, 138, 40, 389 is 1
2. Where do I get the detailed procedure to find GCD of 604, 138, 40, 389?
You can find a detailed procedure to find GCD of 604, 138, 40, 389 on our page.
3. How to find GCD of 604, 138, 40, 389 on a calculator?
You can find the GCD of 604, 138, 40, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.