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 899, 363, 38, 195 i.e. 1 largest integer that divides all the numbers equally.
GCD of 899, 363, 38, 195 is 1
GCD(899, 363, 38, 195) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 899, 363, 38, 195 is 1
GCD(899, 363, 38, 195) = 1
Given Input numbers are 899, 363, 38, 195
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Greatest Common Divisior
We found the divisors of 899, 363, 38, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 363, 38, 195 is 1.
Therefore, GCD of numbers 899, 363, 38, 195 is 1
Given Input Data is 899, 363, 38, 195
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 899 is 29 x 31
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 38 is 2 x 19
Prime Factorization of 195 is 3 x 5 x 13
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(899, 363) = 326337
GCD(899, 363) = ( 899 x 363 ) / 326337
GCD(899, 363) = 326337 / 326337
GCD(899, 363) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 195) = 195
GCD(1, 195) = ( 1 x 195 ) / 195
GCD(1, 195) = 195 / 195
GCD(1, 195) = 1
GCD of 899, 363, 38, 195 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 899, 363, 38, 195?
GCD of 899, 363, 38, 195 is 1
2. Where do I get the detailed procedure to find GCD of 899, 363, 38, 195?
You can find a detailed procedure to find GCD of 899, 363, 38, 195 on our page.
3. How to find GCD of 899, 363, 38, 195 on a calculator?
You can find the GCD of 899, 363, 38, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.