GCD of 384, 230, 353, 320 Calculator

Given Input numbers are 384, 230, 353, 320

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

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 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (384, 230, 353, 320) = 1.

Given numbers are 384, 230, 353, 320

The list of prime factors of all numbers are

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

Prime factors of 230 are 2 x 5 x 23

Prime factors of 353 are 353

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 384, 230, 353, 320

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

Apply this formula for all numbers.

Step1:

LCM(384, 230) = 44160

GCD(384, 230) = ( 384 x 230 ) / 44160

= 384 / 230

= 384

Step2:

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

= 2 / 353

= 2

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 384, 230, 353, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 576, 647, 977
• GCD of 139, 106, 363, 529
• GCD of 671, 997, 338, 350
• GCD of 148, 695, 547, 792
• GCD of 169, 414, 694, 920

Given numbers are 384, 230, 353, 320
The greatest common divisor of numbers 384, 230, 353, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 230, 353, 320 is 1.

1. What is the GCD of 384, 230, 353, 320?

GCD of given numbers 384, 230, 353, 320 is 1

2. How to calculate the greatest common divisor of 384, 230, 353, 320?

We can find the highest common divisor of 384, 230, 353, 320 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 384, 230, 353, 320 i.e 1.

3. How can I use the GCD of 384, 230, 353, 320Calculator?

Out the numbers 384, 230, 353, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.