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 855, 505, 404, 130 i.e. 1 largest integer that divides all the numbers equally.
GCD of 855, 505, 404, 130 is 1
GCD(855, 505, 404, 130) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 505, 404, 130 is 1
GCD(855, 505, 404, 130) = 1
Given Input numbers are 855, 505, 404, 130
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Greatest Common Divisior
We found the divisors of 855, 505, 404, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 505, 404, 130 is 1.
Therefore, GCD of numbers 855, 505, 404, 130 is 1
Given Input Data is 855, 505, 404, 130
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 505 is 5 x 101
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 130 is 2 x 5 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(855, 505) = 86355
GCD(855, 505) = ( 855 x 505 ) / 86355
GCD(855, 505) = 431775 / 86355
GCD(855, 505) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 404) = 2020
GCD(5, 404) = ( 5 x 404 ) / 2020
GCD(5, 404) = 2020 / 2020
GCD(5, 404) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
GCD of 855, 505, 404, 130 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 505, 404, 130?
GCD of 855, 505, 404, 130 is 1
2. Where do I get the detailed procedure to find GCD of 855, 505, 404, 130?
You can find a detailed procedure to find GCD of 855, 505, 404, 130 on our page.
3. How to find GCD of 855, 505, 404, 130 on a calculator?
You can find the GCD of 855, 505, 404, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.