GCD of 729, 309, 426, 129 Calculator

Given Input numbers are 729, 309, 426, 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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

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, 309, 426, 129) = 3.

Given numbers are 729, 309, 426, 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 309 are 3 x 103

Prime factors of 426 are 2 x 3 x 71

Prime factors of 129 are 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 729, 309, 426, 129 is 3.

Given numbers are 729, 309, 426, 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, 309) = 75087

GCD(729, 309) = ( 729 x 309 ) / 75087

= 729 / 309

= 729

Step2:

LCM(3, 426) = 426

GCD(3, 426) = ( 3 x 426 ) / 426

= 3 / 426

= 3

Step3:

LCM(3, 129) = 129

GCD(3, 129) = ( 3 x 129 ) / 129

= 3 / 129

= 3

So, Greatest Common Divisor of 729, 309, 426, 129 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 600, 441, 583
• GCD of 779, 704, 201, 579
• GCD of 431, 339, 845, 715
• GCD of 818, 776, 243, 466
• GCD of 630, 597, 798, 559

Given numbers are 729, 309, 426, 129
The greatest common divisor of numbers 729, 309, 426, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 309, 426, 129 is 3.

1. What is the GCD of 729, 309, 426, 129?

GCD of given numbers 729, 309, 426, 129 is 3

2. How to calculate the greatest common divisor of 729, 309, 426, 129?

We can find the highest common divisor of 729, 309, 426, 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, 309, 426, 129 i.e 3.

3. How can I use the GCD of 729, 309, 426, 129Calculator?

Out the numbers 729, 309, 426, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.