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 261, 864, 458, 804 i.e. 1 largest integer that divides all the numbers equally.
GCD of 261, 864, 458, 804 is 1
GCD(261, 864, 458, 804) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 261, 864, 458, 804 is 1
GCD(261, 864, 458, 804) = 1
Given Input numbers are 261, 864, 458, 804
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
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 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Greatest Common Divisior
We found the divisors of 261, 864, 458, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 864, 458, 804 is 1.
Therefore, GCD of numbers 261, 864, 458, 804 is 1
Given Input Data is 261, 864, 458, 804
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 458 is 2 x 229
Prime Factorization of 804 is 2 x 2 x 3 x 67
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(261, 864) = 25056
GCD(261, 864) = ( 261 x 864 ) / 25056
GCD(261, 864) = 225504 / 25056
GCD(261, 864) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 458
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 458) = 4122
GCD(9, 458) = ( 9 x 458 ) / 4122
GCD(9, 458) = 4122 / 4122
GCD(9, 458) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 804) = 804
GCD(1, 804) = ( 1 x 804 ) / 804
GCD(1, 804) = 804 / 804
GCD(1, 804) = 1
GCD of 261, 864, 458, 804 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 261, 864, 458, 804?
GCD of 261, 864, 458, 804 is 1
2. Where do I get the detailed procedure to find GCD of 261, 864, 458, 804?
You can find a detailed procedure to find GCD of 261, 864, 458, 804 on our page.
3. How to find GCD of 261, 864, 458, 804 on a calculator?
You can find the GCD of 261, 864, 458, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.