GCD of 459, 585, 936 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 459, 585, 936 quickly. Get the easiest ways to solve the greatest common divisor of 459, 585, 936 i.e 9 in different methods as follows.
Given Input numbers are 459, 585, 936
In the factoring method, we have to find the divisors of all numbers
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
GCD of numbers is the greatest common divisor
So, the GCD (459, 585, 936) = 9.
Given numbers are 459, 585, 936
The list of prime factors of all numbers are
Prime factors of 459 are 3 x 3 x 3 x 17
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
The highest common occurrence is 32
Therefore, GCD of 459, 585, 936 is 9.
Steps to Calculate GCD of 459, 585, 936 using LCM Formula
Given numbers are 459, 585, 936
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(459, 585) = 29835
GCD(459, 585) = ( 459 x 585 ) / 29835
= 459 / 585
= 459
Step2:
LCM(9, 936) = 936
GCD(9, 936) = ( 9 x 936 ) / 936
= 9 / 936
= 9
So, Greatest Common Divisor of 459, 585, 936 is 9
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 459, 585, 936
Given numbers are 459, 585, 936
The greatest common divisor of numbers 459, 585, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 459, 585, 936 is 9.
FAQs on GCD of 459, 585, 936 Calculator
1. What is the GCD of 459, 585, 936?
GCD of given numbers 459, 585, 936 is 9
2. How to calculate the greatest common divisor of 459, 585, 936?
We can find the highest common divisor of 459, 585, 936 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 459, 585, 936 i.e 9.
3. How can I use the GCD of 459, 585, 936Calculator?
Out the numbers 459, 585, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.