GCD of 576, 384, 318, 849 Calculator

Given Input numbers are 576, 384, 318, 849

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (576, 384, 318, 849) = 3.

Given numbers are 576, 384, 318, 849

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 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 318 are 2 x 3 x 53

Prime factors of 849 are 3 x 283

The highest common occurrence is 3¹

Therefore, GCD of 576, 384, 318, 849 is 3.

Given numbers are 576, 384, 318, 849

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

Apply this formula for all numbers.

Step1:

LCM(576, 384) = 1152

GCD(576, 384) = ( 576 x 384 ) / 1152

= 576 / 384

= 576

Step2:

LCM(192, 318) = 10176

GCD(192, 318) = ( 192 x 318 ) / 10176

= 192 / 318

= 192

Step3:

LCM(6, 849) = 1698

GCD(6, 849) = ( 6 x 849 ) / 1698

= 6 / 849

= 6

So, Greatest Common Divisor of 576, 384, 318, 849 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 362, 550, 309
• GCD of 595, 434, 756, 576
• GCD of 683, 244, 576, 678
• GCD of 323, 620, 158, 676
• GCD of 372, 845, 955, 935

Given numbers are 576, 384, 318, 849
The greatest common divisor of numbers 576, 384, 318, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 384, 318, 849 is 3.

1. What is the GCD of 576, 384, 318, 849?

GCD of given numbers 576, 384, 318, 849 is 3

2. How to calculate the greatest common divisor of 576, 384, 318, 849?

We can find the highest common divisor of 576, 384, 318, 849 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, 384, 318, 849 i.e 3.

3. How can I use the GCD of 576, 384, 318, 849Calculator?

Out the numbers 576, 384, 318, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.