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 478, 401, 903, 172 i.e. 1 largest integer that divides all the numbers equally.
GCD of 478, 401, 903, 172 is 1
GCD(478, 401, 903, 172) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 478, 401, 903, 172 is 1
GCD(478, 401, 903, 172) = 1
Given Input numbers are 478, 401, 903, 172
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
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 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Greatest Common Divisior
We found the divisors of 478, 401, 903, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 401, 903, 172 is 1.
Therefore, GCD of numbers 478, 401, 903, 172 is 1
Given Input Data is 478, 401, 903, 172
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 478 is 2 x 239
Prime Factorization of 401 is 401
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 172 is 2 x 2 x 43
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(478, 401) = 191678
GCD(478, 401) = ( 478 x 401 ) / 191678
GCD(478, 401) = 191678 / 191678
GCD(478, 401) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 903
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 903) = 903
GCD(1, 903) = ( 1 x 903 ) / 903
GCD(1, 903) = 903 / 903
GCD(1, 903) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
GCD(1, 172) = 172 / 172
GCD(1, 172) = 1
GCD of 478, 401, 903, 172 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 478, 401, 903, 172?
GCD of 478, 401, 903, 172 is 1
2. Where do I get the detailed procedure to find GCD of 478, 401, 903, 172?
You can find a detailed procedure to find GCD of 478, 401, 903, 172 on our page.
3. How to find GCD of 478, 401, 903, 172 on a calculator?
You can find the GCD of 478, 401, 903, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.