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 489, 225, 47, 595 i.e. 1 largest integer that divides all the numbers equally.
GCD of 489, 225, 47, 595 is 1
GCD(489, 225, 47, 595) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 489, 225, 47, 595 is 1
GCD(489, 225, 47, 595) = 1
Given Input numbers are 489, 225, 47, 595
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Greatest Common Divisior
We found the divisors of 489, 225, 47, 595 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 225, 47, 595 is 1.
Therefore, GCD of numbers 489, 225, 47, 595 is 1
Given Input Data is 489, 225, 47, 595
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 489 is 3 x 163
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 47 is 47
Prime Factorization of 595 is 5 x 7 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(489, 225) = 36675
GCD(489, 225) = ( 489 x 225 ) / 36675
GCD(489, 225) = 110025 / 36675
GCD(489, 225) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 47) = 141
GCD(3, 47) = ( 3 x 47 ) / 141
GCD(3, 47) = 141 / 141
GCD(3, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 595
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 595) = 595
GCD(1, 595) = ( 1 x 595 ) / 595
GCD(1, 595) = 595 / 595
GCD(1, 595) = 1
GCD of 489, 225, 47, 595 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 489, 225, 47, 595?
GCD of 489, 225, 47, 595 is 1
2. Where do I get the detailed procedure to find GCD of 489, 225, 47, 595?
You can find a detailed procedure to find GCD of 489, 225, 47, 595 on our page.
3. How to find GCD of 489, 225, 47, 595 on a calculator?
You can find the GCD of 489, 225, 47, 595 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.