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 63, 668, 789, 312 i.e. 1 largest integer that divides all the numbers equally.
GCD of 63, 668, 789, 312 is 1
GCD(63, 668, 789, 312) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 63, 668, 789, 312 is 1
GCD(63, 668, 789, 312) = 1
Given Input numbers are 63, 668, 789, 312
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Greatest Common Divisior
We found the divisors of 63, 668, 789, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 668, 789, 312 is 1.
Therefore, GCD of numbers 63, 668, 789, 312 is 1
Given Input Data is 63, 668, 789, 312
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 789 is 3 x 263
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
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(63, 668) = 42084
GCD(63, 668) = ( 63 x 668 ) / 42084
GCD(63, 668) = 42084 / 42084
GCD(63, 668) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
GCD(1, 789) = 789 / 789
GCD(1, 789) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
GCD of 63, 668, 789, 312 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 63, 668, 789, 312?
GCD of 63, 668, 789, 312 is 1
2. Where do I get the detailed procedure to find GCD of 63, 668, 789, 312?
You can find a detailed procedure to find GCD of 63, 668, 789, 312 on our page.
3. How to find GCD of 63, 668, 789, 312 on a calculator?
You can find the GCD of 63, 668, 789, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.