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, 216, 27, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 558, 216, 27, 188 is 1
GCD(558, 216, 27, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 558, 216, 27, 188 is 1
GCD(558, 216, 27, 188) = 1
Given Input numbers are 558, 216, 27, 188
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 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 558, 216, 27, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 216, 27, 188 is 1.
Therefore, GCD of numbers 558, 216, 27, 188 is 1
Given Input Data is 558, 216, 27, 188
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 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 188 is 2 x 2 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(558, 216) = 6696
GCD(558, 216) = ( 558 x 216 ) / 6696
GCD(558, 216) = 120528 / 6696
GCD(558, 216) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 27) = 54
GCD(18, 27) = ( 18 x 27 ) / 54
GCD(18, 27) = 486 / 54
GCD(18, 27) = 9
Step3:
Here we consider the GCD from the above i.e. 9 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 188) = 1692
GCD(9, 188) = ( 9 x 188 ) / 1692
GCD(9, 188) = 1692 / 1692
GCD(9, 188) = 1
GCD of 558, 216, 27, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 558, 216, 27, 188?
GCD of 558, 216, 27, 188 is 1
2. Where do I get the detailed procedure to find GCD of 558, 216, 27, 188?
You can find a detailed procedure to find GCD of 558, 216, 27, 188 on our page.
3. How to find GCD of 558, 216, 27, 188 on a calculator?
You can find the GCD of 558, 216, 27, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.