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, 580, 983, 366 i.e. 1 largest integer that divides all the numbers equally.
GCD of 520, 580, 983, 366 is 1
GCD(520, 580, 983, 366) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 520, 580, 983, 366 is 1
GCD(520, 580, 983, 366) = 1
Given Input numbers are 520, 580, 983, 366
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 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Greatest Common Divisior
We found the divisors of 520, 580, 983, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 580, 983, 366 is 1.
Therefore, GCD of numbers 520, 580, 983, 366 is 1
Given Input Data is 520, 580, 983, 366
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 580 is 2 x 2 x 5 x 29
Prime Factorization of 983 is 983
Prime Factorization of 366 is 2 x 3 x 61
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, 580) = 15080
GCD(520, 580) = ( 520 x 580 ) / 15080
GCD(520, 580) = 301600 / 15080
GCD(520, 580) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 983
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 983) = 19660
GCD(20, 983) = ( 20 x 983 ) / 19660
GCD(20, 983) = 19660 / 19660
GCD(20, 983) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
GCD of 520, 580, 983, 366 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 520, 580, 983, 366?
GCD of 520, 580, 983, 366 is 1
2. Where do I get the detailed procedure to find GCD of 520, 580, 983, 366?
You can find a detailed procedure to find GCD of 520, 580, 983, 366 on our page.
3. How to find GCD of 520, 580, 983, 366 on a calculator?
You can find the GCD of 520, 580, 983, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.