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 173, 924, 33, 809 i.e. 1 largest integer that divides all the numbers equally.
GCD of 173, 924, 33, 809 is 1
GCD(173, 924, 33, 809) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 173, 924, 33, 809 is 1
GCD(173, 924, 33, 809) = 1
Given Input numbers are 173, 924, 33, 809
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Greatest Common Divisior
We found the divisors of 173, 924, 33, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 173, 924, 33, 809 is 1.
Therefore, GCD of numbers 173, 924, 33, 809 is 1
Given Input Data is 173, 924, 33, 809
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 173 is 173
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 33 is 3 x 11
Prime Factorization of 809 is 809
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(173, 924) = 159852
GCD(173, 924) = ( 173 x 924 ) / 159852
GCD(173, 924) = 159852 / 159852
GCD(173, 924) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 33) = 33
GCD(1, 33) = ( 1 x 33 ) / 33
GCD(1, 33) = 33 / 33
GCD(1, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 809
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 809) = 809
GCD(1, 809) = ( 1 x 809 ) / 809
GCD(1, 809) = 809 / 809
GCD(1, 809) = 1
GCD of 173, 924, 33, 809 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 173, 924, 33, 809?
GCD of 173, 924, 33, 809 is 1
2. Where do I get the detailed procedure to find GCD of 173, 924, 33, 809?
You can find a detailed procedure to find GCD of 173, 924, 33, 809 on our page.
3. How to find GCD of 173, 924, 33, 809 on a calculator?
You can find the GCD of 173, 924, 33, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.