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 815, 995, 17, 289 i.e. 1 largest integer that divides all the numbers equally.
GCD of 815, 995, 17, 289 is 1
GCD(815, 995, 17, 289) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 815, 995, 17, 289 is 1
GCD(815, 995, 17, 289) = 1
Given Input numbers are 815, 995, 17, 289
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Greatest Common Divisior
We found the divisors of 815, 995, 17, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 815, 995, 17, 289 is 1.
Therefore, GCD of numbers 815, 995, 17, 289 is 1
Given Input Data is 815, 995, 17, 289
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 815 is 5 x 163
Prime Factorization of 995 is 5 x 199
Prime Factorization of 17 is 17
Prime Factorization of 289 is 17 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(815, 995) = 162185
GCD(815, 995) = ( 815 x 995 ) / 162185
GCD(815, 995) = 810925 / 162185
GCD(815, 995) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 17) = 85
GCD(5, 17) = ( 5 x 17 ) / 85
GCD(5, 17) = 85 / 85
GCD(5, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
GCD of 815, 995, 17, 289 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 815, 995, 17, 289?
GCD of 815, 995, 17, 289 is 1
2. Where do I get the detailed procedure to find GCD of 815, 995, 17, 289?
You can find a detailed procedure to find GCD of 815, 995, 17, 289 on our page.
3. How to find GCD of 815, 995, 17, 289 on a calculator?
You can find the GCD of 815, 995, 17, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.