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 369, 927, 17, 275 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 927, 17, 275 is 1
GCD(369, 927, 17, 275) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 927, 17, 275 is 1
GCD(369, 927, 17, 275) = 1
Given Input numbers are 369, 927, 17, 275
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Greatest Common Divisior
We found the divisors of 369, 927, 17, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 927, 17, 275 is 1.
Therefore, GCD of numbers 369, 927, 17, 275 is 1
Given Input Data is 369, 927, 17, 275
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 927 is 3 x 3 x 103
Prime Factorization of 17 is 17
Prime Factorization of 275 is 5 x 5 x 11
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(369, 927) = 38007
GCD(369, 927) = ( 369 x 927 ) / 38007
GCD(369, 927) = 342063 / 38007
GCD(369, 927) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 17) = 153
GCD(9, 17) = ( 9 x 17 ) / 153
GCD(9, 17) = 153 / 153
GCD(9, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 275
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 275) = 275
GCD(1, 275) = ( 1 x 275 ) / 275
GCD(1, 275) = 275 / 275
GCD(1, 275) = 1
GCD of 369, 927, 17, 275 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 927, 17, 275?
GCD of 369, 927, 17, 275 is 1
2. Where do I get the detailed procedure to find GCD of 369, 927, 17, 275?
You can find a detailed procedure to find GCD of 369, 927, 17, 275 on our page.
3. How to find GCD of 369, 927, 17, 275 on a calculator?
You can find the GCD of 369, 927, 17, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.