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, 799, 17, 997 i.e. 1 largest integer that divides all the numbers equally.
GCD of 908, 799, 17, 997 is 1
GCD(908, 799, 17, 997) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 908, 799, 17, 997 is 1
GCD(908, 799, 17, 997) = 1
Given Input numbers are 908, 799, 17, 997
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 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Greatest Common Divisior
We found the divisors of 908, 799, 17, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 799, 17, 997 is 1.
Therefore, GCD of numbers 908, 799, 17, 997 is 1
Given Input Data is 908, 799, 17, 997
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 799 is 17 x 47
Prime Factorization of 17 is 17
Prime Factorization of 997 is 997
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, 799) = 725492
GCD(908, 799) = ( 908 x 799 ) / 725492
GCD(908, 799) = 725492 / 725492
GCD(908, 799) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
GCD(1, 997) = 997 / 997
GCD(1, 997) = 1
GCD of 908, 799, 17, 997 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 908, 799, 17, 997?
GCD of 908, 799, 17, 997 is 1
2. Where do I get the detailed procedure to find GCD of 908, 799, 17, 997?
You can find a detailed procedure to find GCD of 908, 799, 17, 997 on our page.
3. How to find GCD of 908, 799, 17, 997 on a calculator?
You can find the GCD of 908, 799, 17, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.