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 394, 895, 31, 473 i.e. 1 largest integer that divides all the numbers equally.
GCD of 394, 895, 31, 473 is 1
GCD(394, 895, 31, 473) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 394, 895, 31, 473 is 1
GCD(394, 895, 31, 473) = 1
Given Input numbers are 394, 895, 31, 473
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 895
List of positive integer divisors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Greatest Common Divisior
We found the divisors of 394, 895, 31, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 895, 31, 473 is 1.
Therefore, GCD of numbers 394, 895, 31, 473 is 1
Given Input Data is 394, 895, 31, 473
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 394 is 2 x 197
Prime Factorization of 895 is 5 x 179
Prime Factorization of 31 is 31
Prime Factorization of 473 is 11 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(394, 895) = 352630
GCD(394, 895) = ( 394 x 895 ) / 352630
GCD(394, 895) = 352630 / 352630
GCD(394, 895) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 473
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 473) = 473
GCD(1, 473) = ( 1 x 473 ) / 473
GCD(1, 473) = 473 / 473
GCD(1, 473) = 1
GCD of 394, 895, 31, 473 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 394, 895, 31, 473?
GCD of 394, 895, 31, 473 is 1
2. Where do I get the detailed procedure to find GCD of 394, 895, 31, 473?
You can find a detailed procedure to find GCD of 394, 895, 31, 473 on our page.
3. How to find GCD of 394, 895, 31, 473 on a calculator?
You can find the GCD of 394, 895, 31, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.