GCD of 903, 330, 361 Calculator
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 903, 330, 361 i.e. 1 largest integer that divides all the numbers equally.
GCD of 903, 330, 361 is 1
GCD(903, 330, 361) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 903, 330, 361 is 1
GCD(903, 330, 361) = 1
GCDof 903,330,361 is 1
Given Input numbers are 903, 330, 361
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Greatest Common Divisior
We found the divisors of 903, 330, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 330, 361 is 1.
Therefore, GCD of numbers 903, 330, 361 is 1
Given Input Data is 903, 330, 361
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 361 is 19 x 19
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 903, 330, 361 using LCM Formula
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(903, 330) = 99330
GCD(903, 330) = ( 903 x 330 ) / 99330
GCD(903, 330) = 297990 / 99330
GCD(903, 330) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 361) = 1083
GCD(3, 361) = ( 3 x 361 ) / 1083
GCD(3, 361) = 1083 / 1083
GCD(3, 361) = 1
GCD of 903, 330, 361 is 1
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FAQs on GCD of numbers 903, 330, 361
1. What is the GCD of 903, 330, 361?
GCD of 903, 330, 361 is 1
2. Where do I get the detailed procedure to find GCD of 903, 330, 361?
You can find a detailed procedure to find GCD of 903, 330, 361 on our page.
3. How to find GCD of 903, 330, 361 on a calculator?
You can find the GCD of 903, 330, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.