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, 855, 432, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 855, 432, 913 is 1
GCD(33, 855, 432, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 855, 432, 913 is 1
GCD(33, 855, 432, 913) = 1
Given Input numbers are 33, 855, 432, 913
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 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
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 33, 855, 432, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 855, 432, 913 is 1.
Therefore, GCD of numbers 33, 855, 432, 913 is 1
Given Input Data is 33, 855, 432, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 913 is 11 x 83
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, 855) = 9405
GCD(33, 855) = ( 33 x 855 ) / 9405
GCD(33, 855) = 28215 / 9405
GCD(33, 855) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 432) = 432
GCD(3, 432) = ( 3 x 432 ) / 432
GCD(3, 432) = 1296 / 432
GCD(3, 432) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 913) = 2739
GCD(3, 913) = ( 3 x 913 ) / 2739
GCD(3, 913) = 2739 / 2739
GCD(3, 913) = 1
GCD of 33, 855, 432, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 855, 432, 913?
GCD of 33, 855, 432, 913 is 1
2. Where do I get the detailed procedure to find GCD of 33, 855, 432, 913?
You can find a detailed procedure to find GCD of 33, 855, 432, 913 on our page.
3. How to find GCD of 33, 855, 432, 913 on a calculator?
You can find the GCD of 33, 855, 432, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.