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 473, 905, 73, 971 i.e. 1 largest integer that divides all the numbers equally.
GCD of 473, 905, 73, 971 is 1
GCD(473, 905, 73, 971) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 473, 905, 73, 971 is 1
GCD(473, 905, 73, 971) = 1
Given Input numbers are 473, 905, 73, 971
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Greatest Common Divisior
We found the divisors of 473, 905, 73, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 905, 73, 971 is 1.
Therefore, GCD of numbers 473, 905, 73, 971 is 1
Given Input Data is 473, 905, 73, 971
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 473 is 11 x 43
Prime Factorization of 905 is 5 x 181
Prime Factorization of 73 is 73
Prime Factorization of 971 is 971
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(473, 905) = 428065
GCD(473, 905) = ( 473 x 905 ) / 428065
GCD(473, 905) = 428065 / 428065
GCD(473, 905) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
GCD(1, 971) = 971 / 971
GCD(1, 971) = 1
GCD of 473, 905, 73, 971 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 473, 905, 73, 971?
GCD of 473, 905, 73, 971 is 1
2. Where do I get the detailed procedure to find GCD of 473, 905, 73, 971?
You can find a detailed procedure to find GCD of 473, 905, 73, 971 on our page.
3. How to find GCD of 473, 905, 73, 971 on a calculator?
You can find the GCD of 473, 905, 73, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.