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 405, 499, 28, 564 i.e. 1 largest integer that divides all the numbers equally.
GCD of 405, 499, 28, 564 is 1
GCD(405, 499, 28, 564) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 405, 499, 28, 564 is 1
GCD(405, 499, 28, 564) = 1
Given Input numbers are 405, 499, 28, 564
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Greatest Common Divisior
We found the divisors of 405, 499, 28, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 499, 28, 564 is 1.
Therefore, GCD of numbers 405, 499, 28, 564 is 1
Given Input Data is 405, 499, 28, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 499 is 499
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 564 is 2 x 2 x 3 x 47
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(405, 499) = 202095
GCD(405, 499) = ( 405 x 499 ) / 202095
GCD(405, 499) = 202095 / 202095
GCD(405, 499) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
GCD of 405, 499, 28, 564 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 405, 499, 28, 564?
GCD of 405, 499, 28, 564 is 1
2. Where do I get the detailed procedure to find GCD of 405, 499, 28, 564?
You can find a detailed procedure to find GCD of 405, 499, 28, 564 on our page.
3. How to find GCD of 405, 499, 28, 564 on a calculator?
You can find the GCD of 405, 499, 28, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.