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 514, 331, 68 i.e. 1 largest integer that divides all the numbers equally.
GCD of 514, 331, 68 is 1
GCD(514, 331, 68) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 514, 331, 68 is 1
GCD(514, 331, 68) = 1
Given Input numbers are 514, 331, 68
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Greatest Common Divisior
We found the divisors of 514, 331, 68 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 331, 68 is 1.
Therefore, GCD of numbers 514, 331, 68 is 1
Given Input Data is 514, 331, 68
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 514 is 2 x 257
Prime Factorization of 331 is 331
Prime Factorization of 68 is 2 x 2 x 17
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(514, 331) = 170134
GCD(514, 331) = ( 514 x 331 ) / 170134
GCD(514, 331) = 170134 / 170134
GCD(514, 331) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
GCD of 514, 331, 68 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 514, 331, 68?
GCD of 514, 331, 68 is 1
2. Where do I get the detailed procedure to find GCD of 514, 331, 68?
You can find a detailed procedure to find GCD of 514, 331, 68 on our page.
3. How to find GCD of 514, 331, 68 on a calculator?
You can find the GCD of 514, 331, 68 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.