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, 562, 90, 185 i.e. 1 largest integer that divides all the numbers equally.
GCD of 558, 562, 90, 185 is 1
GCD(558, 562, 90, 185) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 558, 562, 90, 185 is 1
GCD(558, 562, 90, 185) = 1
Given Input numbers are 558, 562, 90, 185
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 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Greatest Common Divisior
We found the divisors of 558, 562, 90, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 562, 90, 185 is 1.
Therefore, GCD of numbers 558, 562, 90, 185 is 1
Given Input Data is 558, 562, 90, 185
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 562 is 2 x 281
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 185 is 5 x 37
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, 562) = 156798
GCD(558, 562) = ( 558 x 562 ) / 156798
GCD(558, 562) = 313596 / 156798
GCD(558, 562) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 90) = 90
GCD(2, 90) = ( 2 x 90 ) / 90
GCD(2, 90) = 180 / 90
GCD(2, 90) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 185
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 185) = 370
GCD(2, 185) = ( 2 x 185 ) / 370
GCD(2, 185) = 370 / 370
GCD(2, 185) = 1
GCD of 558, 562, 90, 185 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 558, 562, 90, 185?
GCD of 558, 562, 90, 185 is 1
2. Where do I get the detailed procedure to find GCD of 558, 562, 90, 185?
You can find a detailed procedure to find GCD of 558, 562, 90, 185 on our page.
3. How to find GCD of 558, 562, 90, 185 on a calculator?
You can find the GCD of 558, 562, 90, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.