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 33, 852, 184, 288 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 852, 184, 288 is 1
GCD(33, 852, 184, 288) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 852, 184, 288 is 1
GCD(33, 852, 184, 288) = 1
Given Input numbers are 33, 852, 184, 288
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
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
Greatest Common Divisior
We found the divisors of 33, 852, 184, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 852, 184, 288 is 1.
Therefore, GCD of numbers 33, 852, 184, 288 is 1
Given Input Data is 33, 852, 184, 288
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 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(33, 852) = 9372
GCD(33, 852) = ( 33 x 852 ) / 9372
GCD(33, 852) = 28116 / 9372
GCD(33, 852) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 184
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 184) = 552
GCD(3, 184) = ( 3 x 184 ) / 552
GCD(3, 184) = 552 / 552
GCD(3, 184) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
GCD(1, 288) = 288 / 288
GCD(1, 288) = 1
GCD of 33, 852, 184, 288 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 852, 184, 288?
GCD of 33, 852, 184, 288 is 1
2. Where do I get the detailed procedure to find GCD of 33, 852, 184, 288?
You can find a detailed procedure to find GCD of 33, 852, 184, 288 on our page.
3. How to find GCD of 33, 852, 184, 288 on a calculator?
You can find the GCD of 33, 852, 184, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.