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 804, 288, 831, 136 i.e. 1 largest integer that divides all the numbers equally.
GCD of 804, 288, 831, 136 is 1
GCD(804, 288, 831, 136) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 804, 288, 831, 136 is 1
GCD(804, 288, 831, 136) = 1
Given Input numbers are 804, 288, 831, 136
To find the GCD of numbers using factoring list out all the divisors of each number
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
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
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Greatest Common Divisior
We found the divisors of 804, 288, 831, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 288, 831, 136 is 1.
Therefore, GCD of numbers 804, 288, 831, 136 is 1
Given Input Data is 804, 288, 831, 136
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 831 is 3 x 277
Prime Factorization of 136 is 2 x 2 x 2 x 17
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(804, 288) = 19296
GCD(804, 288) = ( 804 x 288 ) / 19296
GCD(804, 288) = 231552 / 19296
GCD(804, 288) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 831) = 3324
GCD(12, 831) = ( 12 x 831 ) / 3324
GCD(12, 831) = 9972 / 3324
GCD(12, 831) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 136) = 408
GCD(3, 136) = ( 3 x 136 ) / 408
GCD(3, 136) = 408 / 408
GCD(3, 136) = 1
GCD of 804, 288, 831, 136 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 804, 288, 831, 136?
GCD of 804, 288, 831, 136 is 1
2. Where do I get the detailed procedure to find GCD of 804, 288, 831, 136?
You can find a detailed procedure to find GCD of 804, 288, 831, 136 on our page.
3. How to find GCD of 804, 288, 831, 136 on a calculator?
You can find the GCD of 804, 288, 831, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.