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 511, 872, 27, 288 i.e. 1 largest integer that divides all the numbers equally.
GCD of 511, 872, 27, 288 is 1
GCD(511, 872, 27, 288) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 511, 872, 27, 288 is 1
GCD(511, 872, 27, 288) = 1
Given Input numbers are 511, 872, 27, 288
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Greatest Common Divisior
We found the divisors of 511, 872, 27, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 511, 872, 27, 288 is 1.
Therefore, GCD of numbers 511, 872, 27, 288 is 1
Given Input Data is 511, 872, 27, 288
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 511 is 7 x 73
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
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(511, 872) = 445592
GCD(511, 872) = ( 511 x 872 ) / 445592
GCD(511, 872) = 445592 / 445592
GCD(511, 872) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
GCD(1, 288) = 288 / 288
GCD(1, 288) = 1
GCD of 511, 872, 27, 288 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 511, 872, 27, 288?
GCD of 511, 872, 27, 288 is 1
2. Where do I get the detailed procedure to find GCD of 511, 872, 27, 288?
You can find a detailed procedure to find GCD of 511, 872, 27, 288 on our page.
3. How to find GCD of 511, 872, 27, 288 on a calculator?
You can find the GCD of 511, 872, 27, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.