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, 789, 340, 908 i.e. 1 largest integer that divides all the numbers equally.
GCD of 903, 789, 340, 908 is 1
GCD(903, 789, 340, 908) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 903, 789, 340, 908 is 1
GCD(903, 789, 340, 908) = 1
Given Input numbers are 903, 789, 340, 908
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 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Greatest Common Divisior
We found the divisors of 903, 789, 340, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 789, 340, 908 is 1.
Therefore, GCD of numbers 903, 789, 340, 908 is 1
Given Input Data is 903, 789, 340, 908
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 789 is 3 x 263
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 908 is 2 x 2 x 227
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, 789) = 237489
GCD(903, 789) = ( 903 x 789 ) / 237489
GCD(903, 789) = 712467 / 237489
GCD(903, 789) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 340) = 1020
GCD(3, 340) = ( 3 x 340 ) / 1020
GCD(3, 340) = 1020 / 1020
GCD(3, 340) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 908
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 908) = 908
GCD(1, 908) = ( 1 x 908 ) / 908
GCD(1, 908) = 908 / 908
GCD(1, 908) = 1
GCD of 903, 789, 340, 908 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 903, 789, 340, 908?
GCD of 903, 789, 340, 908 is 1
2. Where do I get the detailed procedure to find GCD of 903, 789, 340, 908?
You can find a detailed procedure to find GCD of 903, 789, 340, 908 on our page.
3. How to find GCD of 903, 789, 340, 908 on a calculator?
You can find the GCD of 903, 789, 340, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.