GCD of 328, 384, 566, 309 Calculator

Given Input numbers are 328, 384, 566, 309

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

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

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 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (328, 384, 566, 309) = 1.

Given numbers are 328, 384, 566, 309

The list of prime factors of all numbers are

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 566 are 2 x 283

Prime factors of 309 are 3 x 103

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

Given numbers are 328, 384, 566, 309

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

Apply this formula for all numbers.

Step1:

LCM(328, 384) = 15744

GCD(328, 384) = ( 328 x 384 ) / 15744

= 328 / 384

= 328

Step2:

LCM(8, 566) = 2264

GCD(8, 566) = ( 8 x 566 ) / 2264

= 8 / 566

= 8

Step3:

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

= 2 / 309

= 2

So, Greatest Common Divisor of 328, 384, 566, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 913, 975, 301
• GCD of 971, 316, 686, 898
• GCD of 305, 260, 905, 519
• GCD of 192, 823, 839, 887
• GCD of 399, 150, 310, 701

Given numbers are 328, 384, 566, 309
The greatest common divisor of numbers 328, 384, 566, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 384, 566, 309 is 1.

1. What is the GCD of 328, 384, 566, 309?

GCD of given numbers 328, 384, 566, 309 is 1

2. How to calculate the greatest common divisor of 328, 384, 566, 309?

We can find the highest common divisor of 328, 384, 566, 309 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 328, 384, 566, 309 i.e 1.

3. How can I use the GCD of 328, 384, 566, 309Calculator?

Out the numbers 328, 384, 566, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.