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 463, 315, 31, 774 i.e. 1 largest integer that divides all the numbers equally.
GCD of 463, 315, 31, 774 is 1
GCD(463, 315, 31, 774) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 463, 315, 31, 774 is 1
GCD(463, 315, 31, 774) = 1
Given Input numbers are 463, 315, 31, 774
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Greatest Common Divisior
We found the divisors of 463, 315, 31, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 315, 31, 774 is 1.
Therefore, GCD of numbers 463, 315, 31, 774 is 1
Given Input Data is 463, 315, 31, 774
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 463 is 463
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 31 is 31
Prime Factorization of 774 is 2 x 3 x 3 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(463, 315) = 145845
GCD(463, 315) = ( 463 x 315 ) / 145845
GCD(463, 315) = 145845 / 145845
GCD(463, 315) = 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 774
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 774) = 774
GCD(1, 774) = ( 1 x 774 ) / 774
GCD(1, 774) = 774 / 774
GCD(1, 774) = 1
GCD of 463, 315, 31, 774 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 463, 315, 31, 774?
GCD of 463, 315, 31, 774 is 1
2. Where do I get the detailed procedure to find GCD of 463, 315, 31, 774?
You can find a detailed procedure to find GCD of 463, 315, 31, 774 on our page.
3. How to find GCD of 463, 315, 31, 774 on a calculator?
You can find the GCD of 463, 315, 31, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.