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, 130, 424, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 615, 130, 424, 380 is 1
GCD(615, 130, 424, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 615, 130, 424, 380 is 1
GCD(615, 130, 424, 380) = 1
Given Input numbers are 615, 130, 424, 380
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 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 615, 130, 424, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 615, 130, 424, 380 is 1.
Therefore, GCD of numbers 615, 130, 424, 380 is 1
Given Input Data is 615, 130, 424, 380
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 130 is 2 x 5 x 13
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 380 is 2 x 2 x 5 x 19
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, 130) = 15990
GCD(615, 130) = ( 615 x 130 ) / 15990
GCD(615, 130) = 79950 / 15990
GCD(615, 130) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 424) = 2120
GCD(5, 424) = ( 5 x 424 ) / 2120
GCD(5, 424) = 2120 / 2120
GCD(5, 424) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
GCD of 615, 130, 424, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 615, 130, 424, 380?
GCD of 615, 130, 424, 380 is 1
2. Where do I get the detailed procedure to find GCD of 615, 130, 424, 380?
You can find a detailed procedure to find GCD of 615, 130, 424, 380 on our page.
3. How to find GCD of 615, 130, 424, 380 on a calculator?
You can find the GCD of 615, 130, 424, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.