GCD of 729, 138, 294 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 729, 138, 294 quickly. Get the easiest ways to solve the greatest common divisor of 729, 138, 294 i.e 3 in different methods as follows.
Given Input numbers are 729, 138, 294
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 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
GCD of numbers is the greatest common divisor
So, the GCD (729, 138, 294) = 3.
Given numbers are 729, 138, 294
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 138 are 2 x 3 x 23
Prime factors of 294 are 2 x 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 729, 138, 294 is 3.
Steps to Calculate GCD of 729, 138, 294 using LCM Formula
Given numbers are 729, 138, 294
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 138) = 33534
GCD(729, 138) = ( 729 x 138 ) / 33534
= 729 / 138
= 729
Step2:
LCM(3, 294) = 294
GCD(3, 294) = ( 3 x 294 ) / 294
= 3 / 294
= 3
So, Greatest Common Divisor of 729, 138, 294 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 729, 138, 294
Given numbers are 729, 138, 294
The greatest common divisor of numbers 729, 138, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 138, 294 is 3.
FAQs on GCD of 729, 138, 294 Calculator
1. What is the GCD of 729, 138, 294?
GCD of given numbers 729, 138, 294 is 3
2. How to calculate the greatest common divisor of 729, 138, 294?
We can find the highest common divisor of 729, 138, 294 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, 138, 294 i.e 3.
3. How can I use the GCD of 729, 138, 294Calculator?
Out the numbers 729, 138, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.