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, 596, 30 i.e. 1 largest integer that divides all the numbers equally.
GCD of 463, 596, 30 is 1
GCD(463, 596, 30) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 463, 596, 30 is 1
GCD(463, 596, 30) = 1
Given Input numbers are 463, 596, 30
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 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Greatest Common Divisior
We found the divisors of 463, 596, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 596, 30 is 1.
Therefore, GCD of numbers 463, 596, 30 is 1
Given Input Data is 463, 596, 30
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 463 is 463
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 30 is 2 x 3 x 5
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, 596) = 275948
GCD(463, 596) = ( 463 x 596 ) / 275948
GCD(463, 596) = 275948 / 275948
GCD(463, 596) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
GCD of 463, 596, 30 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 463, 596, 30?
GCD of 463, 596, 30 is 1
2. Where do I get the detailed procedure to find GCD of 463, 596, 30?
You can find a detailed procedure to find GCD of 463, 596, 30 on our page.
3. How to find GCD of 463, 596, 30 on a calculator?
You can find the GCD of 463, 596, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.