GCD of 288, 311, 572, 576 Calculator

Given Input numbers are 288, 311, 572, 576

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

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

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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

GCD of numbers is the greatest common divisor

So, the GCD (288, 311, 572, 576) = 1.

Given numbers are 288, 311, 572, 576

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 311 are 311

Prime factors of 572 are 2 x 2 x 11 x 13

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 288, 311, 572, 576

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

Apply this formula for all numbers.

Step1:

LCM(288, 311) = 89568

GCD(288, 311) = ( 288 x 311 ) / 89568

= 288 / 311

= 288

Step2:

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

= 1 / 572

= 1

Step3:

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

= 1 / 576

= 1

So, Greatest Common Divisor of 288, 311, 572, 576 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 251, 664, 279
• GCD of 352, 495, 653, 597
• GCD of 148, 157, 526, 217
• GCD of 176, 811, 229, 499
• GCD of 500, 649, 720, 481

Given numbers are 288, 311, 572, 576
The greatest common divisor of numbers 288, 311, 572, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 311, 572, 576 is 1.

1. What is the GCD of 288, 311, 572, 576?

GCD of given numbers 288, 311, 572, 576 is 1

2. How to calculate the greatest common divisor of 288, 311, 572, 576?

We can find the highest common divisor of 288, 311, 572, 576 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 288, 311, 572, 576 i.e 1.

3. How can I use the GCD of 288, 311, 572, 576Calculator?

Out the numbers 288, 311, 572, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.