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, 495, 58, 806 i.e. 1 largest integer that divides all the numbers equally.
GCD of 558, 495, 58, 806 is 1
GCD(558, 495, 58, 806) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 558, 495, 58, 806 is 1
GCD(558, 495, 58, 806) = 1
Given Input numbers are 558, 495, 58, 806
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 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 806
List of positive integer divisors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Greatest Common Divisior
We found the divisors of 558, 495, 58, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 495, 58, 806 is 1.
Therefore, GCD of numbers 558, 495, 58, 806 is 1
Given Input Data is 558, 495, 58, 806
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 495 is 3 x 3 x 5 x 11
Prime Factorization of 58 is 2 x 29
Prime Factorization of 806 is 2 x 13 x 31
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, 495) = 30690
GCD(558, 495) = ( 558 x 495 ) / 30690
GCD(558, 495) = 276210 / 30690
GCD(558, 495) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 58) = 522
GCD(9, 58) = ( 9 x 58 ) / 522
GCD(9, 58) = 522 / 522
GCD(9, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 806
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 806) = 806
GCD(1, 806) = ( 1 x 806 ) / 806
GCD(1, 806) = 806 / 806
GCD(1, 806) = 1
GCD of 558, 495, 58, 806 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 558, 495, 58, 806?
GCD of 558, 495, 58, 806 is 1
2. Where do I get the detailed procedure to find GCD of 558, 495, 58, 806?
You can find a detailed procedure to find GCD of 558, 495, 58, 806 on our page.
3. How to find GCD of 558, 495, 58, 806 on a calculator?
You can find the GCD of 558, 495, 58, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.