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 130, 577, 856, 517 i.e. 1 largest integer that divides all the numbers equally.
GCD of 130, 577, 856, 517 is 1
GCD(130, 577, 856, 517) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 130, 577, 856, 517 is 1
GCD(130, 577, 856, 517) = 1
Given Input numbers are 130, 577, 856, 517
To find the GCD of numbers using factoring list out all the divisors of each number
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 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Greatest Common Divisior
We found the divisors of 130, 577, 856, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 577, 856, 517 is 1.
Therefore, GCD of numbers 130, 577, 856, 517 is 1
Given Input Data is 130, 577, 856, 517
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 577 is 577
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 517 is 11 x 47
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(130, 577) = 75010
GCD(130, 577) = ( 130 x 577 ) / 75010
GCD(130, 577) = 75010 / 75010
GCD(130, 577) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 856
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 856) = 856
GCD(1, 856) = ( 1 x 856 ) / 856
GCD(1, 856) = 856 / 856
GCD(1, 856) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 517
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 517) = 517
GCD(1, 517) = ( 1 x 517 ) / 517
GCD(1, 517) = 517 / 517
GCD(1, 517) = 1
GCD of 130, 577, 856, 517 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 130, 577, 856, 517?
GCD of 130, 577, 856, 517 is 1
2. Where do I get the detailed procedure to find GCD of 130, 577, 856, 517?
You can find a detailed procedure to find GCD of 130, 577, 856, 517 on our page.
3. How to find GCD of 130, 577, 856, 517 on a calculator?
You can find the GCD of 130, 577, 856, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.