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 564, 164, 478, 405 i.e. 1 largest integer that divides all the numbers equally.
GCD of 564, 164, 478, 405 is 1
GCD(564, 164, 478, 405) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 564, 164, 478, 405 is 1
GCD(564, 164, 478, 405) = 1
Given Input numbers are 564, 164, 478, 405
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
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
Greatest Common Divisior
We found the divisors of 564, 164, 478, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 164, 478, 405 is 1.
Therefore, GCD of numbers 564, 164, 478, 405 is 1
Given Input Data is 564, 164, 478, 405
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 478 is 2 x 239
Prime Factorization of 405 is 3 x 3 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(564, 164) = 23124
GCD(564, 164) = ( 564 x 164 ) / 23124
GCD(564, 164) = 92496 / 23124
GCD(564, 164) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 478
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 478) = 956
GCD(4, 478) = ( 4 x 478 ) / 956
GCD(4, 478) = 1912 / 956
GCD(4, 478) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 405) = 810
GCD(2, 405) = ( 2 x 405 ) / 810
GCD(2, 405) = 810 / 810
GCD(2, 405) = 1
GCD of 564, 164, 478, 405 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 564, 164, 478, 405?
GCD of 564, 164, 478, 405 is 1
2. Where do I get the detailed procedure to find GCD of 564, 164, 478, 405?
You can find a detailed procedure to find GCD of 564, 164, 478, 405 on our page.
3. How to find GCD of 564, 164, 478, 405 on a calculator?
You can find the GCD of 564, 164, 478, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.