GCD of 825, 459, 33, 729 Calculator

Given Input numbers are 825, 459, 33, 729

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 33 :

The positive integer divisors of 33 that completely divides 33 are.

1, 3, 11, 33

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 (825, 459, 33, 729) = 3.

Given numbers are 825, 459, 33, 729

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 33 are 3 x 11

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

The highest common occurrence is 3¹

Therefore, GCD of 825, 459, 33, 729 is 3.

Given numbers are 825, 459, 33, 729

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

Apply this formula for all numbers.

Step1:

LCM(825, 459) = 126225

GCD(825, 459) = ( 825 x 459 ) / 126225

= 825 / 459

= 825

Step2:

LCM(3, 33) = 33

GCD(3, 33) = ( 3 x 33 ) / 33

= 3 / 33

= 3

Step3:

LCM(3, 729) = 729

GCD(3, 729) = ( 3 x 729 ) / 729

= 3 / 729

= 3

So, Greatest Common Divisor of 825, 459, 33, 729 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 389, 20, 445
• GCD of 261, 836, 39, 453
• GCD of 445, 962, 71, 478
• GCD of 587, 223, 20, 380
• GCD of 714, 912, 76, 266

Given numbers are 825, 459, 33, 729
The greatest common divisor of numbers 825, 459, 33, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 459, 33, 729 is 3.

1. What is the GCD of 825, 459, 33, 729?

GCD of given numbers 825, 459, 33, 729 is 3

2. How to calculate the greatest common divisor of 825, 459, 33, 729?

We can find the highest common divisor of 825, 459, 33, 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 825, 459, 33, 729 i.e 3.

3. How can I use the GCD of 825, 459, 33, 729Calculator?

Out the numbers 825, 459, 33, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.