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 668, 312, 36, 327 i.e. 1 largest integer that divides all the numbers equally.
GCD of 668, 312, 36, 327 is 1
GCD(668, 312, 36, 327) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 668, 312, 36, 327 is 1
GCD(668, 312, 36, 327) = 1
Given Input numbers are 668, 312, 36, 327
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
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
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Greatest Common Divisior
We found the divisors of 668, 312, 36, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 312, 36, 327 is 1.
Therefore, GCD of numbers 668, 312, 36, 327 is 1
Given Input Data is 668, 312, 36, 327
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 327 is 3 x 109
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(668, 312) = 52104
GCD(668, 312) = ( 668 x 312 ) / 52104
GCD(668, 312) = 208416 / 52104
GCD(668, 312) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 36) = 36
GCD(4, 36) = ( 4 x 36 ) / 36
GCD(4, 36) = 144 / 36
GCD(4, 36) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 327
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 327) = 1308
GCD(4, 327) = ( 4 x 327 ) / 1308
GCD(4, 327) = 1308 / 1308
GCD(4, 327) = 1
GCD of 668, 312, 36, 327 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 668, 312, 36, 327?
GCD of 668, 312, 36, 327 is 1
2. Where do I get the detailed procedure to find GCD of 668, 312, 36, 327?
You can find a detailed procedure to find GCD of 668, 312, 36, 327 on our page.
3. How to find GCD of 668, 312, 36, 327 on a calculator?
You can find the GCD of 668, 312, 36, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.