GCD of 729, 423, 999 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 729, 423, 999 quickly. Get the easiest ways to solve the greatest common divisor of 729, 423, 999 i.e 9 in different methods as follows.
Given Input numbers are 729, 423, 999
In the factoring method, we have to find the divisors of all numbers
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
GCD of numbers is the greatest common divisor
So, the GCD (729, 423, 999) = 9.
Given numbers are 729, 423, 999
The list of prime factors of all numbers are
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 423 are 3 x 3 x 47
Prime factors of 999 are 3 x 3 x 3 x 37
The highest common occurrence is 32
Therefore, GCD of 729, 423, 999 is 9.
Steps to Calculate GCD of 729, 423, 999 using LCM Formula
Given numbers are 729, 423, 999
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 423) = 34263
GCD(729, 423) = ( 729 x 423 ) / 34263
= 729 / 423
= 729
Step2:
LCM(9, 999) = 999
GCD(9, 999) = ( 9 x 999 ) / 999
= 9 / 999
= 9
So, Greatest Common Divisor of 729, 423, 999 is 9
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 729, 423, 999
Given numbers are 729, 423, 999
The greatest common divisor of numbers 729, 423, 999 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 423, 999 is 9.
FAQs on GCD of 729, 423, 999 Calculator
1. What is the GCD of 729, 423, 999?
GCD of given numbers 729, 423, 999 is 9
2. How to calculate the greatest common divisor of 729, 423, 999?
We can find the highest common divisor of 729, 423, 999 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 729, 423, 999 i.e 9.
3. How can I use the GCD of 729, 423, 999Calculator?
Out the numbers 729, 423, 999 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.