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 459, 791, 32 i.e. 1 largest integer that divides all the numbers equally.
GCD of 459, 791, 32 is 1
GCD(459, 791, 32) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 459, 791, 32 is 1
GCD(459, 791, 32) = 1
Given Input numbers are 459, 791, 32
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Greatest Common Divisior
We found the divisors of 459, 791, 32 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 791, 32 is 1.
Therefore, GCD of numbers 459, 791, 32 is 1
Given Input Data is 459, 791, 32
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 791 is 7 x 113
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
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(459, 791) = 363069
GCD(459, 791) = ( 459 x 791 ) / 363069
GCD(459, 791) = 363069 / 363069
GCD(459, 791) = 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
GCD of 459, 791, 32 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 459, 791, 32?
GCD of 459, 791, 32 is 1
2. Where do I get the detailed procedure to find GCD of 459, 791, 32?
You can find a detailed procedure to find GCD of 459, 791, 32 on our page.
3. How to find GCD of 459, 791, 32 on a calculator?
You can find the GCD of 459, 791, 32 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.