GCD of 576, 711, 804, 216 Calculator

Given Input numbers are 576, 711, 804, 216

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

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 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (576, 711, 804, 216) = 3.

Given numbers are 576, 711, 804, 216

The list of prime factors of all numbers are

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

Prime factors of 711 are 3 x 3 x 79

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 576, 711, 804, 216 is 3.

Given numbers are 576, 711, 804, 216

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

Apply this formula for all numbers.

Step1:

LCM(576, 711) = 45504

GCD(576, 711) = ( 576 x 711 ) / 45504

= 576 / 711

= 576

Step2:

LCM(9, 804) = 2412

GCD(9, 804) = ( 9 x 804 ) / 2412

= 9 / 804

= 9

Step3:

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

= 3 / 216

= 3

So, Greatest Common Divisor of 576, 711, 804, 216 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 457, 401, 902
• GCD of 406, 481, 479, 284
• GCD of 715, 214, 528, 256
• GCD of 137, 768, 497, 802
• GCD of 673, 157, 109, 834

Given numbers are 576, 711, 804, 216
The greatest common divisor of numbers 576, 711, 804, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 711, 804, 216 is 3.

1. What is the GCD of 576, 711, 804, 216?

GCD of given numbers 576, 711, 804, 216 is 3

2. How to calculate the greatest common divisor of 576, 711, 804, 216?

We can find the highest common divisor of 576, 711, 804, 216 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 576, 711, 804, 216 i.e 3.

3. How can I use the GCD of 576, 711, 804, 216Calculator?

Out the numbers 576, 711, 804, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.