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 51, 289, 205, 864 i.e. 1 largest integer that divides all the numbers equally.
GCD of 51, 289, 205, 864 is 1
GCD(51, 289, 205, 864) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 289, 205, 864 is 1
GCD(51, 289, 205, 864) = 1
Given Input numbers are 51, 289, 205, 864
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Greatest Common Divisior
We found the divisors of 51, 289, 205, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 289, 205, 864 is 1.
Therefore, GCD of numbers 51, 289, 205, 864 is 1
Given Input Data is 51, 289, 205, 864
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 289 is 17 x 17
Prime Factorization of 205 is 5 x 41
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 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(51, 289) = 867
GCD(51, 289) = ( 51 x 289 ) / 867
GCD(51, 289) = 14739 / 867
GCD(51, 289) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 205) = 3485
GCD(17, 205) = ( 17 x 205 ) / 3485
GCD(17, 205) = 3485 / 3485
GCD(17, 205) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
GCD(1, 864) = 864 / 864
GCD(1, 864) = 1
GCD of 51, 289, 205, 864 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 51, 289, 205, 864?
GCD of 51, 289, 205, 864 is 1
2. Where do I get the detailed procedure to find GCD of 51, 289, 205, 864?
You can find a detailed procedure to find GCD of 51, 289, 205, 864 on our page.
3. How to find GCD of 51, 289, 205, 864 on a calculator?
You can find the GCD of 51, 289, 205, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.