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, 364, 923, 896 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 364, 923, 896 is 1
GCD(33, 364, 923, 896) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 364, 923, 896 is 1
GCD(33, 364, 923, 896) = 1
Given Input numbers are 33, 364, 923, 896
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 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Greatest Common Divisior
We found the divisors of 33, 364, 923, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 364, 923, 896 is 1.
Therefore, GCD of numbers 33, 364, 923, 896 is 1
Given Input Data is 33, 364, 923, 896
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 923 is 13 x 71
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
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, 364) = 12012
GCD(33, 364) = ( 33 x 364 ) / 12012
GCD(33, 364) = 12012 / 12012
GCD(33, 364) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 923) = 923
GCD(1, 923) = ( 1 x 923 ) / 923
GCD(1, 923) = 923 / 923
GCD(1, 923) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 896
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 896) = 896
GCD(1, 896) = ( 1 x 896 ) / 896
GCD(1, 896) = 896 / 896
GCD(1, 896) = 1
GCD of 33, 364, 923, 896 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 364, 923, 896?
GCD of 33, 364, 923, 896 is 1
2. Where do I get the detailed procedure to find GCD of 33, 364, 923, 896?
You can find a detailed procedure to find GCD of 33, 364, 923, 896 on our page.
3. How to find GCD of 33, 364, 923, 896 on a calculator?
You can find the GCD of 33, 364, 923, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.