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, 849, 43, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 864, 849, 43, 385 is 1
GCD(864, 849, 43, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 864, 849, 43, 385 is 1
GCD(864, 849, 43, 385) = 1
Given Input numbers are 864, 849, 43, 385
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 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 864, 849, 43, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 849, 43, 385 is 1.
Therefore, GCD of numbers 864, 849, 43, 385 is 1
Given Input Data is 864, 849, 43, 385
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 849 is 3 x 283
Prime Factorization of 43 is 43
Prime Factorization of 385 is 5 x 7 x 11
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, 849) = 244512
GCD(864, 849) = ( 864 x 849 ) / 244512
GCD(864, 849) = 733536 / 244512
GCD(864, 849) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 43) = 129
GCD(3, 43) = ( 3 x 43 ) / 129
GCD(3, 43) = 129 / 129
GCD(3, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
GCD of 864, 849, 43, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 864, 849, 43, 385?
GCD of 864, 849, 43, 385 is 1
2. Where do I get the detailed procedure to find GCD of 864, 849, 43, 385?
You can find a detailed procedure to find GCD of 864, 849, 43, 385 on our page.
3. How to find GCD of 864, 849, 43, 385 on a calculator?
You can find the GCD of 864, 849, 43, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.