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 27, 564, 103, 411 i.e. 1 largest integer that divides all the numbers equally.
GCD of 27, 564, 103, 411 is 1
GCD(27, 564, 103, 411) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 27, 564, 103, 411 is 1
GCD(27, 564, 103, 411) = 1
Given Input numbers are 27, 564, 103, 411
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
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 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Greatest Common Divisior
We found the divisors of 27, 564, 103, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 564, 103, 411 is 1.
Therefore, GCD of numbers 27, 564, 103, 411 is 1
Given Input Data is 27, 564, 103, 411
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 103 is 103
Prime Factorization of 411 is 3 x 137
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(27, 564) = 5076
GCD(27, 564) = ( 27 x 564 ) / 5076
GCD(27, 564) = 15228 / 5076
GCD(27, 564) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 103) = 309
GCD(3, 103) = ( 3 x 103 ) / 309
GCD(3, 103) = 309 / 309
GCD(3, 103) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 411
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 411) = 411
GCD(1, 411) = ( 1 x 411 ) / 411
GCD(1, 411) = 411 / 411
GCD(1, 411) = 1
GCD of 27, 564, 103, 411 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 27, 564, 103, 411?
GCD of 27, 564, 103, 411 is 1
2. Where do I get the detailed procedure to find GCD of 27, 564, 103, 411?
You can find a detailed procedure to find GCD of 27, 564, 103, 411 on our page.
3. How to find GCD of 27, 564, 103, 411 on a calculator?
You can find the GCD of 27, 564, 103, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.