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 520, 305, 210, 191 i.e. 1 largest integer that divides all the numbers equally.
GCD of 520, 305, 210, 191 is 1
GCD(520, 305, 210, 191) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 520, 305, 210, 191 is 1
GCD(520, 305, 210, 191) = 1
Given Input numbers are 520, 305, 210, 191
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Greatest Common Divisior
We found the divisors of 520, 305, 210, 191 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 305, 210, 191 is 1.
Therefore, GCD of numbers 520, 305, 210, 191 is 1
Given Input Data is 520, 305, 210, 191
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 305 is 5 x 61
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 191 is 191
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(520, 305) = 31720
GCD(520, 305) = ( 520 x 305 ) / 31720
GCD(520, 305) = 158600 / 31720
GCD(520, 305) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 210
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 210) = 210
GCD(5, 210) = ( 5 x 210 ) / 210
GCD(5, 210) = 1050 / 210
GCD(5, 210) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 191
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 191) = 955
GCD(5, 191) = ( 5 x 191 ) / 955
GCD(5, 191) = 955 / 955
GCD(5, 191) = 1
GCD of 520, 305, 210, 191 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 520, 305, 210, 191?
GCD of 520, 305, 210, 191 is 1
2. Where do I get the detailed procedure to find GCD of 520, 305, 210, 191?
You can find a detailed procedure to find GCD of 520, 305, 210, 191 on our page.
3. How to find GCD of 520, 305, 210, 191 on a calculator?
You can find the GCD of 520, 305, 210, 191 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.