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 473, 558, 45 i.e. 1 largest integer that divides all the numbers equally.
GCD of 473, 558, 45 is 1
GCD(473, 558, 45) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 473, 558, 45 is 1
GCD(473, 558, 45) = 1
Given Input numbers are 473, 558, 45
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
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 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Greatest Common Divisior
We found the divisors of 473, 558, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 558, 45 is 1.
Therefore, GCD of numbers 473, 558, 45 is 1
Given Input Data is 473, 558, 45
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 473 is 11 x 43
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 45 is 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(473, 558) = 263934
GCD(473, 558) = ( 473 x 558 ) / 263934
GCD(473, 558) = 263934 / 263934
GCD(473, 558) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
GCD of 473, 558, 45 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 473, 558, 45?
GCD of 473, 558, 45 is 1
2. Where do I get the detailed procedure to find GCD of 473, 558, 45?
You can find a detailed procedure to find GCD of 473, 558, 45 on our page.
3. How to find GCD of 473, 558, 45 on a calculator?
You can find the GCD of 473, 558, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.