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, 896, 183, 200 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 896, 183, 200 is 1
GCD(33, 896, 183, 200) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 896, 183, 200 is 1
GCD(33, 896, 183, 200) = 1
Given Input numbers are 33, 896, 183, 200
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 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
Divisors of 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Greatest Common Divisior
We found the divisors of 33, 896, 183, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 896, 183, 200 is 1.
Therefore, GCD of numbers 33, 896, 183, 200 is 1
Given Input Data is 33, 896, 183, 200
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 183 is 3 x 61
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
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, 896) = 29568
GCD(33, 896) = ( 33 x 896 ) / 29568
GCD(33, 896) = 29568 / 29568
GCD(33, 896) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 183
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 183) = 183
GCD(1, 183) = ( 1 x 183 ) / 183
GCD(1, 183) = 183 / 183
GCD(1, 183) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
GCD of 33, 896, 183, 200 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 896, 183, 200?
GCD of 33, 896, 183, 200 is 1
2. Where do I get the detailed procedure to find GCD of 33, 896, 183, 200?
You can find a detailed procedure to find GCD of 33, 896, 183, 200 on our page.
3. How to find GCD of 33, 896, 183, 200 on a calculator?
You can find the GCD of 33, 896, 183, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.