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 474, 472, 227, 590 i.e. 1 largest integer that divides all the numbers equally.
GCD of 474, 472, 227, 590 is 1
GCD(474, 472, 227, 590) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 474, 472, 227, 590 is 1
GCD(474, 472, 227, 590) = 1
Given Input numbers are 474, 472, 227, 590
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Greatest Common Divisior
We found the divisors of 474, 472, 227, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 472, 227, 590 is 1.
Therefore, GCD of numbers 474, 472, 227, 590 is 1
Given Input Data is 474, 472, 227, 590
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 227 is 227
Prime Factorization of 590 is 2 x 5 x 59
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(474, 472) = 111864
GCD(474, 472) = ( 474 x 472 ) / 111864
GCD(474, 472) = 223728 / 111864
GCD(474, 472) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 227
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 227) = 454
GCD(2, 227) = ( 2 x 227 ) / 454
GCD(2, 227) = 454 / 454
GCD(2, 227) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 590
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 590) = 590
GCD(1, 590) = ( 1 x 590 ) / 590
GCD(1, 590) = 590 / 590
GCD(1, 590) = 1
GCD of 474, 472, 227, 590 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 474, 472, 227, 590?
GCD of 474, 472, 227, 590 is 1
2. Where do I get the detailed procedure to find GCD of 474, 472, 227, 590?
You can find a detailed procedure to find GCD of 474, 472, 227, 590 on our page.
3. How to find GCD of 474, 472, 227, 590 on a calculator?
You can find the GCD of 474, 472, 227, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.