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, 960, 855, 103 i.e. 1 largest integer that divides all the numbers equally.
GCD of 903, 960, 855, 103 is 1
GCD(903, 960, 855, 103) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 903, 960, 855, 103 is 1
GCD(903, 960, 855, 103) = 1
Given Input numbers are 903, 960, 855, 103
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 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Greatest Common Divisior
We found the divisors of 903, 960, 855, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 960, 855, 103 is 1.
Therefore, GCD of numbers 903, 960, 855, 103 is 1
Given Input Data is 903, 960, 855, 103
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 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 103 is 103
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, 960) = 288960
GCD(903, 960) = ( 903 x 960 ) / 288960
GCD(903, 960) = 866880 / 288960
GCD(903, 960) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 855) = 855
GCD(3, 855) = ( 3 x 855 ) / 855
GCD(3, 855) = 2565 / 855
GCD(3, 855) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 103) = 309
GCD(3, 103) = ( 3 x 103 ) / 309
GCD(3, 103) = 309 / 309
GCD(3, 103) = 1
GCD of 903, 960, 855, 103 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 903, 960, 855, 103?
GCD of 903, 960, 855, 103 is 1
2. Where do I get the detailed procedure to find GCD of 903, 960, 855, 103?
You can find a detailed procedure to find GCD of 903, 960, 855, 103 on our page.
3. How to find GCD of 903, 960, 855, 103 on a calculator?
You can find the GCD of 903, 960, 855, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.