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 825, 489, 17, 235 i.e. 1 largest integer that divides all the numbers equally.
GCD of 825, 489, 17, 235 is 1
GCD(825, 489, 17, 235) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 825, 489, 17, 235 is 1
GCD(825, 489, 17, 235) = 1
Given Input numbers are 825, 489, 17, 235
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Greatest Common Divisior
We found the divisors of 825, 489, 17, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 489, 17, 235 is 1.
Therefore, GCD of numbers 825, 489, 17, 235 is 1
Given Input Data is 825, 489, 17, 235
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 489 is 3 x 163
Prime Factorization of 17 is 17
Prime Factorization of 235 is 5 x 47
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(825, 489) = 134475
GCD(825, 489) = ( 825 x 489 ) / 134475
GCD(825, 489) = 403425 / 134475
GCD(825, 489) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 17) = 51
GCD(3, 17) = ( 3 x 17 ) / 51
GCD(3, 17) = 51 / 51
GCD(3, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 235
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 235) = 235
GCD(1, 235) = ( 1 x 235 ) / 235
GCD(1, 235) = 235 / 235
GCD(1, 235) = 1
GCD of 825, 489, 17, 235 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 825, 489, 17, 235?
GCD of 825, 489, 17, 235 is 1
2. Where do I get the detailed procedure to find GCD of 825, 489, 17, 235?
You can find a detailed procedure to find GCD of 825, 489, 17, 235 on our page.
3. How to find GCD of 825, 489, 17, 235 on a calculator?
You can find the GCD of 825, 489, 17, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.