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 615, 390, 20, 839 i.e. 1 largest integer that divides all the numbers equally.
GCD of 615, 390, 20, 839 is 1
GCD(615, 390, 20, 839) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 615, 390, 20, 839 is 1
GCD(615, 390, 20, 839) = 1
Given Input numbers are 615, 390, 20, 839
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 839
List of positive integer divisors of 839 that divides 839 without a remainder.
1, 839
Greatest Common Divisior
We found the divisors of 615, 390, 20, 839 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 615, 390, 20, 839 is 1.
Therefore, GCD of numbers 615, 390, 20, 839 is 1
Given Input Data is 615, 390, 20, 839
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 839 is 839
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(615, 390) = 15990
GCD(615, 390) = ( 615 x 390 ) / 15990
GCD(615, 390) = 239850 / 15990
GCD(615, 390) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 20) = 60
GCD(15, 20) = ( 15 x 20 ) / 60
GCD(15, 20) = 300 / 60
GCD(15, 20) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 839
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 839) = 4195
GCD(5, 839) = ( 5 x 839 ) / 4195
GCD(5, 839) = 4195 / 4195
GCD(5, 839) = 1
GCD of 615, 390, 20, 839 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 615, 390, 20, 839?
GCD of 615, 390, 20, 839 is 1
2. Where do I get the detailed procedure to find GCD of 615, 390, 20, 839?
You can find a detailed procedure to find GCD of 615, 390, 20, 839 on our page.
3. How to find GCD of 615, 390, 20, 839 on a calculator?
You can find the GCD of 615, 390, 20, 839 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.