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 908, 652, 509 i.e. 1 largest integer that divides all the numbers equally.
GCD of 908, 652, 509 is 1
GCD(908, 652, 509) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 908, 652, 509 is 1
GCD(908, 652, 509) = 1
Given Input numbers are 908, 652, 509
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Greatest Common Divisior
We found the divisors of 908, 652, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 652, 509 is 1.
Therefore, GCD of numbers 908, 652, 509 is 1
Given Input Data is 908, 652, 509
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 509 is 509
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(908, 652) = 148004
GCD(908, 652) = ( 908 x 652 ) / 148004
GCD(908, 652) = 592016 / 148004
GCD(908, 652) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 509) = 2036
GCD(4, 509) = ( 4 x 509 ) / 2036
GCD(4, 509) = 2036 / 2036
GCD(4, 509) = 1
GCD of 908, 652, 509 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 908, 652, 509?
GCD of 908, 652, 509 is 1
2. Where do I get the detailed procedure to find GCD of 908, 652, 509?
You can find a detailed procedure to find GCD of 908, 652, 509 on our page.
3. How to find GCD of 908, 652, 509 on a calculator?
You can find the GCD of 908, 652, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.