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 433, 216, 32, 363 i.e. 1 largest integer that divides all the numbers equally.
GCD of 433, 216, 32, 363 is 1
GCD(433, 216, 32, 363) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 433, 216, 32, 363 is 1
GCD(433, 216, 32, 363) = 1
Given Input numbers are 433, 216, 32, 363
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Greatest Common Divisior
We found the divisors of 433, 216, 32, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 433, 216, 32, 363 is 1.
Therefore, GCD of numbers 433, 216, 32, 363 is 1
Given Input Data is 433, 216, 32, 363
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 433 is 433
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 363 is 3 x 11 x 11
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(433, 216) = 93528
GCD(433, 216) = ( 433 x 216 ) / 93528
GCD(433, 216) = 93528 / 93528
GCD(433, 216) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 363) = 363
GCD(1, 363) = ( 1 x 363 ) / 363
GCD(1, 363) = 363 / 363
GCD(1, 363) = 1
GCD of 433, 216, 32, 363 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 433, 216, 32, 363?
GCD of 433, 216, 32, 363 is 1
2. Where do I get the detailed procedure to find GCD of 433, 216, 32, 363?
You can find a detailed procedure to find GCD of 433, 216, 32, 363 on our page.
3. How to find GCD of 433, 216, 32, 363 on a calculator?
You can find the GCD of 433, 216, 32, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.