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, 582, 13, 918 i.e. 1 largest integer that divides all the numbers equally.
GCD of 254, 582, 13, 918 is 1
GCD(254, 582, 13, 918) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 254, 582, 13, 918 is 1
GCD(254, 582, 13, 918) = 1
Given Input numbers are 254, 582, 13, 918
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 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Greatest Common Divisior
We found the divisors of 254, 582, 13, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 582, 13, 918 is 1.
Therefore, GCD of numbers 254, 582, 13, 918 is 1
Given Input Data is 254, 582, 13, 918
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 254 is 2 x 127
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 13 is 13
Prime Factorization of 918 is 2 x 3 x 3 x 3 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(254, 582) = 73914
GCD(254, 582) = ( 254 x 582 ) / 73914
GCD(254, 582) = 147828 / 73914
GCD(254, 582) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 13) = 26
GCD(2, 13) = ( 2 x 13 ) / 26
GCD(2, 13) = 26 / 26
GCD(2, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
GCD(1, 918) = 918 / 918
GCD(1, 918) = 1
GCD of 254, 582, 13, 918 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 254, 582, 13, 918?
GCD of 254, 582, 13, 918 is 1
2. Where do I get the detailed procedure to find GCD of 254, 582, 13, 918?
You can find a detailed procedure to find GCD of 254, 582, 13, 918 on our page.
3. How to find GCD of 254, 582, 13, 918 on a calculator?
You can find the GCD of 254, 582, 13, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.