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 30, 427, 873, 663 i.e. 1 largest integer that divides all the numbers equally.
GCD of 30, 427, 873, 663 is 1
GCD(30, 427, 873, 663) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 30, 427, 873, 663 is 1
GCD(30, 427, 873, 663) = 1
Given Input numbers are 30, 427, 873, 663
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Greatest Common Divisior
We found the divisors of 30, 427, 873, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 427, 873, 663 is 1.
Therefore, GCD of numbers 30, 427, 873, 663 is 1
Given Input Data is 30, 427, 873, 663
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 427 is 7 x 61
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 663 is 3 x 13 x 17
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(30, 427) = 12810
GCD(30, 427) = ( 30 x 427 ) / 12810
GCD(30, 427) = 12810 / 12810
GCD(30, 427) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 873) = 873
GCD(1, 873) = ( 1 x 873 ) / 873
GCD(1, 873) = 873 / 873
GCD(1, 873) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 663
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 663) = 663
GCD(1, 663) = ( 1 x 663 ) / 663
GCD(1, 663) = 663 / 663
GCD(1, 663) = 1
GCD of 30, 427, 873, 663 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 30, 427, 873, 663?
GCD of 30, 427, 873, 663 is 1
2. Where do I get the detailed procedure to find GCD of 30, 427, 873, 663?
You can find a detailed procedure to find GCD of 30, 427, 873, 663 on our page.
3. How to find GCD of 30, 427, 873, 663 on a calculator?
You can find the GCD of 30, 427, 873, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.