GCD of 468, 585, 792 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 468, 585, 792 quickly. Get the easiest ways to solve the greatest common divisor of 468, 585, 792 i.e 9 in different methods as follows.
Given Input numbers are 468, 585, 792
In the factoring method, we have to find the divisors of all numbers
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
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 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
GCD of numbers is the greatest common divisor
So, the GCD (468, 585, 792) = 9.
Given numbers are 468, 585, 792
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
The highest common occurrence is 32
Therefore, GCD of 468, 585, 792 is 9.
Steps to Calculate GCD of 468, 585, 792 using LCM Formula
Given numbers are 468, 585, 792
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 585) = 2340
GCD(468, 585) = ( 468 x 585 ) / 2340
= 468 / 585
= 468
Step2:
LCM(117, 792) = 10296
GCD(117, 792) = ( 117 x 792 ) / 10296
= 117 / 792
= 117
So, Greatest Common Divisor of 468, 585, 792 is 9
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 468, 585, 792
Given numbers are 468, 585, 792
The greatest common divisor of numbers 468, 585, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 585, 792 is 9.
FAQs on GCD of 468, 585, 792 Calculator
1. What is the GCD of 468, 585, 792?
GCD of given numbers 468, 585, 792 is 9
2. How to calculate the greatest common divisor of 468, 585, 792?
We can find the highest common divisor of 468, 585, 792 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 468, 585, 792 i.e 9.
3. How can I use the GCD of 468, 585, 792Calculator?
Out the numbers 468, 585, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.