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 509, 702, 500, 561 i.e. 1 largest integer that divides all the numbers equally.
GCD of 509, 702, 500, 561 is 1
GCD(509, 702, 500, 561) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 509, 702, 500, 561 is 1
GCD(509, 702, 500, 561) = 1
Given Input numbers are 509, 702, 500, 561
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
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 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Greatest Common Divisior
We found the divisors of 509, 702, 500, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 702, 500, 561 is 1.
Therefore, GCD of numbers 509, 702, 500, 561 is 1
Given Input Data is 509, 702, 500, 561
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 509 is 509
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 561 is 3 x 11 x 17
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(509, 702) = 357318
GCD(509, 702) = ( 509 x 702 ) / 357318
GCD(509, 702) = 357318 / 357318
GCD(509, 702) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 500) = 500
GCD(1, 500) = ( 1 x 500 ) / 500
GCD(1, 500) = 500 / 500
GCD(1, 500) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
GCD(1, 561) = 561 / 561
GCD(1, 561) = 1
GCD of 509, 702, 500, 561 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 509, 702, 500, 561?
GCD of 509, 702, 500, 561 is 1
2. Where do I get the detailed procedure to find GCD of 509, 702, 500, 561?
You can find a detailed procedure to find GCD of 509, 702, 500, 561 on our page.
3. How to find GCD of 509, 702, 500, 561 on a calculator?
You can find the GCD of 509, 702, 500, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.