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 314, 866, 73, 324 i.e. 1 largest integer that divides all the numbers equally.
GCD of 314, 866, 73, 324 is 1
GCD(314, 866, 73, 324) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 314, 866, 73, 324 is 1
GCD(314, 866, 73, 324) = 1
Given Input numbers are 314, 866, 73, 324
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Greatest Common Divisior
We found the divisors of 314, 866, 73, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 866, 73, 324 is 1.
Therefore, GCD of numbers 314, 866, 73, 324 is 1
Given Input Data is 314, 866, 73, 324
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 314 is 2 x 157
Prime Factorization of 866 is 2 x 433
Prime Factorization of 73 is 73
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
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(314, 866) = 135962
GCD(314, 866) = ( 314 x 866 ) / 135962
GCD(314, 866) = 271924 / 135962
GCD(314, 866) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
GCD of 314, 866, 73, 324 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 314, 866, 73, 324?
GCD of 314, 866, 73, 324 is 1
2. Where do I get the detailed procedure to find GCD of 314, 866, 73, 324?
You can find a detailed procedure to find GCD of 314, 866, 73, 324 on our page.
3. How to find GCD of 314, 866, 73, 324 on a calculator?
You can find the GCD of 314, 866, 73, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.