Online GCD Calculator is useful to find the GCD of 729, 558, 858 quickly. Get the easiest ways to solve the greatest common divisor of 729, 558, 858 i.e 3 in different methods as follows.
Given Input numbers are 729, 558, 858
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 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
GCD of numbers is the greatest common divisor
So, the GCD (729, 558, 858) = 3.
Given numbers are 729, 558, 858
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 558 are 2 x 3 x 3 x 31
Prime factors of 858 are 2 x 3 x 11 x 13
The highest common occurrence is 31
Therefore, GCD of 729, 558, 858 is 3.
Given numbers are 729, 558, 858
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 558) = 45198
GCD(729, 558) = ( 729 x 558 ) / 45198
= 729 / 558
= 729
Step2:
LCM(9, 858) = 2574
GCD(9, 858) = ( 9 x 858 ) / 2574
= 9 / 858
= 9
So, Greatest Common Divisor of 729, 558, 858 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 558, 858
The greatest common divisor of numbers 729, 558, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 558, 858 is 3.
1. What is the GCD of 729, 558, 858?
GCD of given numbers 729, 558, 858 is 3
2. How to calculate the greatest common divisor of 729, 558, 858?
We can find the highest common divisor of 729, 558, 858 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, 558, 858 i.e 3.
3. How can I use the GCD of 729, 558, 858Calculator?
Out the numbers 729, 558, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.