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 570, 500, 609, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 570, 500, 609, 913 is 1
GCD(570, 500, 609, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 570, 500, 609, 913 is 1
GCD(570, 500, 609, 913) = 1
Given Input numbers are 570, 500, 609, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 570, 500, 609, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 500, 609, 913 is 1.
Therefore, GCD of numbers 570, 500, 609, 913 is 1
Given Input Data is 570, 500, 609, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 913 is 11 x 83
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(570, 500) = 28500
GCD(570, 500) = ( 570 x 500 ) / 28500
GCD(570, 500) = 285000 / 28500
GCD(570, 500) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 609
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 609) = 6090
GCD(10, 609) = ( 10 x 609 ) / 6090
GCD(10, 609) = 6090 / 6090
GCD(10, 609) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
GCD of 570, 500, 609, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 570, 500, 609, 913?
GCD of 570, 500, 609, 913 is 1
2. Where do I get the detailed procedure to find GCD of 570, 500, 609, 913?
You can find a detailed procedure to find GCD of 570, 500, 609, 913 on our page.
3. How to find GCD of 570, 500, 609, 913 on a calculator?
You can find the GCD of 570, 500, 609, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.