GCD of 405, 576, 33, 708 Calculator

Given Input numbers are 405, 576, 33, 708

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

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 33 :

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

1, 3, 11, 33

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

GCD of numbers is the greatest common divisor

So, the GCD (405, 576, 33, 708) = 3.

Given numbers are 405, 576, 33, 708

The list of prime factors of all numbers are

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 33 are 3 x 11

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 405, 576, 33, 708 is 3.

Given numbers are 405, 576, 33, 708

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

Apply this formula for all numbers.

Step1:

LCM(405, 576) = 25920

GCD(405, 576) = ( 405 x 576 ) / 25920

= 405 / 576

= 405

Step2:

LCM(9, 33) = 99

GCD(9, 33) = ( 9 x 33 ) / 99

= 9 / 33

= 9

Step3:

LCM(3, 708) = 708

GCD(3, 708) = ( 3 x 708 ) / 708

= 3 / 708

= 3

So, Greatest Common Divisor of 405, 576, 33, 708 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 570, 147, 68, 999
• GCD of 334, 972, 67, 683
• GCD of 805, 730, 63, 916
• GCD of 274, 458, 78, 329
• GCD of 827, 357, 94, 765

Given numbers are 405, 576, 33, 708
The greatest common divisor of numbers 405, 576, 33, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 576, 33, 708 is 3.

1. What is the GCD of 405, 576, 33, 708?

GCD of given numbers 405, 576, 33, 708 is 3

2. How to calculate the greatest common divisor of 405, 576, 33, 708?

We can find the highest common divisor of 405, 576, 33, 708 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 405, 576, 33, 708 i.e 3.

3. How can I use the GCD of 405, 576, 33, 708Calculator?

Out the numbers 405, 576, 33, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.