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 663, 321, 12, 895 i.e. 1 largest integer that divides all the numbers equally.
GCD of 663, 321, 12, 895 is 1
GCD(663, 321, 12, 895) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 663, 321, 12, 895 is 1
GCD(663, 321, 12, 895) = 1
Given Input numbers are 663, 321, 12, 895
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 895
List of positive integer divisors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Greatest Common Divisior
We found the divisors of 663, 321, 12, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 321, 12, 895 is 1.
Therefore, GCD of numbers 663, 321, 12, 895 is 1
Given Input Data is 663, 321, 12, 895
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 321 is 3 x 107
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 895 is 5 x 179
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(663, 321) = 70941
GCD(663, 321) = ( 663 x 321 ) / 70941
GCD(663, 321) = 212823 / 70941
GCD(663, 321) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 12) = 12
GCD(3, 12) = ( 3 x 12 ) / 12
GCD(3, 12) = 36 / 12
GCD(3, 12) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 895
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 895) = 2685
GCD(3, 895) = ( 3 x 895 ) / 2685
GCD(3, 895) = 2685 / 2685
GCD(3, 895) = 1
GCD of 663, 321, 12, 895 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 663, 321, 12, 895?
GCD of 663, 321, 12, 895 is 1
2. Where do I get the detailed procedure to find GCD of 663, 321, 12, 895?
You can find a detailed procedure to find GCD of 663, 321, 12, 895 on our page.
3. How to find GCD of 663, 321, 12, 895 on a calculator?
You can find the GCD of 663, 321, 12, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.