Online GCD Calculator is useful to find the GCD of 729, 594, 129 quickly. Get the easiest ways to solve the greatest common divisor of 729, 594, 129 i.e 3 in different methods as follows.
Given Input numbers are 729, 594, 129
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 594 :
The positive integer divisors of 594 that completely divides 594 are.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
GCD of numbers is the greatest common divisor
So, the GCD (729, 594, 129) = 3.
Given numbers are 729, 594, 129
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 594 are 2 x 3 x 3 x 3 x 11
Prime factors of 129 are 3 x 43
The highest common occurrence is 31
Therefore, GCD of 729, 594, 129 is 3.
Given numbers are 729, 594, 129
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 594) = 16038
GCD(729, 594) = ( 729 x 594 ) / 16038
= 729 / 594
= 729
Step2:
LCM(27, 129) = 1161
GCD(27, 129) = ( 27 x 129 ) / 1161
= 27 / 129
= 27
So, Greatest Common Divisor of 729, 594, 129 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 594, 129
The greatest common divisor of numbers 729, 594, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 594, 129 is 3.
1. What is the GCD of 729, 594, 129?
GCD of given numbers 729, 594, 129 is 3
2. How to calculate the greatest common divisor of 729, 594, 129?
We can find the highest common divisor of 729, 594, 129 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, 594, 129 i.e 3.
3. How can I use the GCD of 729, 594, 129Calculator?
Out the numbers 729, 594, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.