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, 344, 93, 229 i.e. 1 largest integer that divides all the numbers equally.
GCD of 903, 344, 93, 229 is 1
GCD(903, 344, 93, 229) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 903, 344, 93, 229 is 1
GCD(903, 344, 93, 229) = 1
Given Input numbers are 903, 344, 93, 229
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 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Greatest Common Divisior
We found the divisors of 903, 344, 93, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 344, 93, 229 is 1.
Therefore, GCD of numbers 903, 344, 93, 229 is 1
Given Input Data is 903, 344, 93, 229
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 344 is 2 x 2 x 2 x 43
Prime Factorization of 93 is 3 x 31
Prime Factorization of 229 is 229
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(903, 344) = 7224
GCD(903, 344) = ( 903 x 344 ) / 7224
GCD(903, 344) = 310632 / 7224
GCD(903, 344) = 43
Step2:
Here we consider the GCD from the above i.e. 43 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(43, 93) = 3999
GCD(43, 93) = ( 43 x 93 ) / 3999
GCD(43, 93) = 3999 / 3999
GCD(43, 93) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 229
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 229) = 229
GCD(1, 229) = ( 1 x 229 ) / 229
GCD(1, 229) = 229 / 229
GCD(1, 229) = 1
GCD of 903, 344, 93, 229 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 903, 344, 93, 229?
GCD of 903, 344, 93, 229 is 1
2. Where do I get the detailed procedure to find GCD of 903, 344, 93, 229?
You can find a detailed procedure to find GCD of 903, 344, 93, 229 on our page.
3. How to find GCD of 903, 344, 93, 229 on a calculator?
You can find the GCD of 903, 344, 93, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.