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 437, 189, 33, 864 i.e. 1 largest integer that divides all the numbers equally.
GCD of 437, 189, 33, 864 is 1
GCD(437, 189, 33, 864) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 437, 189, 33, 864 is 1
GCD(437, 189, 33, 864) = 1
Given Input numbers are 437, 189, 33, 864
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Greatest Common Divisior
We found the divisors of 437, 189, 33, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 437, 189, 33, 864 is 1.
Therefore, GCD of numbers 437, 189, 33, 864 is 1
Given Input Data is 437, 189, 33, 864
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 437 is 19 x 23
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 33 is 3 x 11
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 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(437, 189) = 82593
GCD(437, 189) = ( 437 x 189 ) / 82593
GCD(437, 189) = 82593 / 82593
GCD(437, 189) = 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 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
GCD(1, 864) = 864 / 864
GCD(1, 864) = 1
GCD of 437, 189, 33, 864 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 437, 189, 33, 864?
GCD of 437, 189, 33, 864 is 1
2. Where do I get the detailed procedure to find GCD of 437, 189, 33, 864?
You can find a detailed procedure to find GCD of 437, 189, 33, 864 on our page.
3. How to find GCD of 437, 189, 33, 864 on a calculator?
You can find the GCD of 437, 189, 33, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.