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, 563, 160, 180 i.e. 1 largest integer that divides all the numbers equally.
GCD of 558, 563, 160, 180 is 1
GCD(558, 563, 160, 180) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 558, 563, 160, 180 is 1
GCD(558, 563, 160, 180) = 1
Given Input numbers are 558, 563, 160, 180
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 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
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
Greatest Common Divisior
We found the divisors of 558, 563, 160, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 563, 160, 180 is 1.
Therefore, GCD of numbers 558, 563, 160, 180 is 1
Given Input Data is 558, 563, 160, 180
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 563 is 563
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
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, 563) = 314154
GCD(558, 563) = ( 558 x 563 ) / 314154
GCD(558, 563) = 314154 / 314154
GCD(558, 563) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
GCD of 558, 563, 160, 180 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 558, 563, 160, 180?
GCD of 558, 563, 160, 180 is 1
2. Where do I get the detailed procedure to find GCD of 558, 563, 160, 180?
You can find a detailed procedure to find GCD of 558, 563, 160, 180 on our page.
3. How to find GCD of 558, 563, 160, 180 on a calculator?
You can find the GCD of 558, 563, 160, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.