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 58, 110, 556, 393 i.e. 1 largest integer that divides all the numbers equally.
GCD of 58, 110, 556, 393 is 1
GCD(58, 110, 556, 393) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 110, 556, 393 is 1
GCD(58, 110, 556, 393) = 1
Given Input numbers are 58, 110, 556, 393
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Greatest Common Divisior
We found the divisors of 58, 110, 556, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 110, 556, 393 is 1.
Therefore, GCD of numbers 58, 110, 556, 393 is 1
Given Input Data is 58, 110, 556, 393
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 58 is 2 x 29
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 393 is 3 x 131
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(58, 110) = 3190
GCD(58, 110) = ( 58 x 110 ) / 3190
GCD(58, 110) = 6380 / 3190
GCD(58, 110) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 556
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 556) = 556
GCD(2, 556) = ( 2 x 556 ) / 556
GCD(2, 556) = 1112 / 556
GCD(2, 556) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 393) = 786
GCD(2, 393) = ( 2 x 393 ) / 786
GCD(2, 393) = 786 / 786
GCD(2, 393) = 1
GCD of 58, 110, 556, 393 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 58, 110, 556, 393?
GCD of 58, 110, 556, 393 is 1
2. Where do I get the detailed procedure to find GCD of 58, 110, 556, 393?
You can find a detailed procedure to find GCD of 58, 110, 556, 393 on our page.
3. How to find GCD of 58, 110, 556, 393 on a calculator?
You can find the GCD of 58, 110, 556, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.