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 864, 829, 45, 855 i.e. 1 largest integer that divides all the numbers equally.
GCD of 864, 829, 45, 855 is 1
GCD(864, 829, 45, 855) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 864, 829, 45, 855 is 1
GCD(864, 829, 45, 855) = 1
Given Input numbers are 864, 829, 45, 855
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Greatest Common Divisior
We found the divisors of 864, 829, 45, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 829, 45, 855 is 1.
Therefore, GCD of numbers 864, 829, 45, 855 is 1
Given Input Data is 864, 829, 45, 855
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 829 is 829
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 855 is 3 x 3 x 5 x 19
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(864, 829) = 716256
GCD(864, 829) = ( 864 x 829 ) / 716256
GCD(864, 829) = 716256 / 716256
GCD(864, 829) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 855) = 855
GCD(1, 855) = ( 1 x 855 ) / 855
GCD(1, 855) = 855 / 855
GCD(1, 855) = 1
GCD of 864, 829, 45, 855 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 864, 829, 45, 855?
GCD of 864, 829, 45, 855 is 1
2. Where do I get the detailed procedure to find GCD of 864, 829, 45, 855?
You can find a detailed procedure to find GCD of 864, 829, 45, 855 on our page.
3. How to find GCD of 864, 829, 45, 855 on a calculator?
You can find the GCD of 864, 829, 45, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.