GCD of 810, 396, 261, 729 Calculator

Given Input numbers are 810, 396, 261, 729

In the factoring method, we have to find the divisors of all numbers

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

GCD of numbers is the greatest common divisor

So, the GCD (810, 396, 261, 729) = 9.

Given numbers are 810, 396, 261, 729

The list of prime factors of all numbers are

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 261 are 3 x 3 x 29

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 3²

Therefore, GCD of 810, 396, 261, 729 is 9.

Given numbers are 810, 396, 261, 729

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(810, 396) = 17820

GCD(810, 396) = ( 810 x 396 ) / 17820

= 810 / 396

= 810

Step2:

LCM(18, 261) = 522

GCD(18, 261) = ( 18 x 261 ) / 522

= 18 / 261

= 18

Step3:

LCM(9, 729) = 729

GCD(9, 729) = ( 9 x 729 ) / 729

= 9 / 729

= 9

So, Greatest Common Divisor of 810, 396, 261, 729 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 679, 573, 764
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• GCD of 885, 856, 338, 178

Given numbers are 810, 396, 261, 729
The greatest common divisor of numbers 810, 396, 261, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 396, 261, 729 is 9.

1. What is the GCD of 810, 396, 261, 729?

GCD of given numbers 810, 396, 261, 729 is 9

2. How to calculate the greatest common divisor of 810, 396, 261, 729?

We can find the highest common divisor of 810, 396, 261, 729 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 810, 396, 261, 729 i.e 9.

3. How can I use the GCD of 810, 396, 261, 729Calculator?

Out the numbers 810, 396, 261, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.