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, 479, 23 i.e. 1 largest integer that divides all the numbers equally.
GCD of 314, 479, 23 is 1
GCD(314, 479, 23) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 314, 479, 23 is 1
GCD(314, 479, 23) = 1
Given Input numbers are 314, 479, 23
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 479
List of positive integer divisors of 479 that divides 479 without a remainder.
1, 479
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Greatest Common Divisior
We found the divisors of 314, 479, 23 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 479, 23 is 1.
Therefore, GCD of numbers 314, 479, 23 is 1
Given Input Data is 314, 479, 23
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 314 is 2 x 157
Prime Factorization of 479 is 479
Prime Factorization of 23 is 23
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, 479) = 150406
GCD(314, 479) = ( 314 x 479 ) / 150406
GCD(314, 479) = 150406 / 150406
GCD(314, 479) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
GCD of 314, 479, 23 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 314, 479, 23?
GCD of 314, 479, 23 is 1
2. Where do I get the detailed procedure to find GCD of 314, 479, 23?
You can find a detailed procedure to find GCD of 314, 479, 23 on our page.
3. How to find GCD of 314, 479, 23 on a calculator?
You can find the GCD of 314, 479, 23 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.