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 254, 622, 513, 329 i.e. 1 largest integer that divides all the numbers equally.
GCD of 254, 622, 513, 329 is 1
GCD(254, 622, 513, 329) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 254, 622, 513, 329 is 1
GCD(254, 622, 513, 329) = 1
Given Input numbers are 254, 622, 513, 329
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Greatest Common Divisior
We found the divisors of 254, 622, 513, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 622, 513, 329 is 1.
Therefore, GCD of numbers 254, 622, 513, 329 is 1
Given Input Data is 254, 622, 513, 329
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 254 is 2 x 127
Prime Factorization of 622 is 2 x 311
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 329 is 7 x 47
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(254, 622) = 78994
GCD(254, 622) = ( 254 x 622 ) / 78994
GCD(254, 622) = 157988 / 78994
GCD(254, 622) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 513) = 1026
GCD(2, 513) = ( 2 x 513 ) / 1026
GCD(2, 513) = 1026 / 1026
GCD(2, 513) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
GCD(1, 329) = 329 / 329
GCD(1, 329) = 1
GCD of 254, 622, 513, 329 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 254, 622, 513, 329?
GCD of 254, 622, 513, 329 is 1
2. Where do I get the detailed procedure to find GCD of 254, 622, 513, 329?
You can find a detailed procedure to find GCD of 254, 622, 513, 329 on our page.
3. How to find GCD of 254, 622, 513, 329 on a calculator?
You can find the GCD of 254, 622, 513, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.