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 558, 180, 99, 113 i.e. 1 largest integer that divides all the numbers equally.
GCD of 558, 180, 99, 113 is 1
GCD(558, 180, 99, 113) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 558, 180, 99, 113 is 1
GCD(558, 180, 99, 113) = 1
Given Input numbers are 558, 180, 99, 113
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Greatest Common Divisior
We found the divisors of 558, 180, 99, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 180, 99, 113 is 1.
Therefore, GCD of numbers 558, 180, 99, 113 is 1
Given Input Data is 558, 180, 99, 113
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 113 is 113
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(558, 180) = 5580
GCD(558, 180) = ( 558 x 180 ) / 5580
GCD(558, 180) = 100440 / 5580
GCD(558, 180) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 99) = 198
GCD(18, 99) = ( 18 x 99 ) / 198
GCD(18, 99) = 1782 / 198
GCD(18, 99) = 9
Step3:
Here we consider the GCD from the above i.e. 9 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 113) = 1017
GCD(9, 113) = ( 9 x 113 ) / 1017
GCD(9, 113) = 1017 / 1017
GCD(9, 113) = 1
GCD of 558, 180, 99, 113 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 558, 180, 99, 113?
GCD of 558, 180, 99, 113 is 1
2. Where do I get the detailed procedure to find GCD of 558, 180, 99, 113?
You can find a detailed procedure to find GCD of 558, 180, 99, 113 on our page.
3. How to find GCD of 558, 180, 99, 113 on a calculator?
You can find the GCD of 558, 180, 99, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.