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 30, 520, 569, 511 i.e. 1 largest integer that divides all the numbers equally.
GCD of 30, 520, 569, 511 is 1
GCD(30, 520, 569, 511) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 30, 520, 569, 511 is 1
GCD(30, 520, 569, 511) = 1
Given Input numbers are 30, 520, 569, 511
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
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 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Greatest Common Divisior
We found the divisors of 30, 520, 569, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 520, 569, 511 is 1.
Therefore, GCD of numbers 30, 520, 569, 511 is 1
Given Input Data is 30, 520, 569, 511
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 569 is 569
Prime Factorization of 511 is 7 x 73
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(30, 520) = 1560
GCD(30, 520) = ( 30 x 520 ) / 1560
GCD(30, 520) = 15600 / 1560
GCD(30, 520) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 569
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 569) = 5690
GCD(10, 569) = ( 10 x 569 ) / 5690
GCD(10, 569) = 5690 / 5690
GCD(10, 569) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 511
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 511) = 511
GCD(1, 511) = ( 1 x 511 ) / 511
GCD(1, 511) = 511 / 511
GCD(1, 511) = 1
GCD of 30, 520, 569, 511 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 30, 520, 569, 511?
GCD of 30, 520, 569, 511 is 1
2. Where do I get the detailed procedure to find GCD of 30, 520, 569, 511?
You can find a detailed procedure to find GCD of 30, 520, 569, 511 on our page.
3. How to find GCD of 30, 520, 569, 511 on a calculator?
You can find the GCD of 30, 520, 569, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.