GCD of 320, 512, 32, 389 Calculator

Given Input numbers are 320, 512, 32, 389

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Greatest Common Divisior

We found the divisors of 320, 512, 32, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 512, 32, 389 is 1.

Therefore, GCD of numbers 320, 512, 32, 389 is 1

Given Input Data is 320, 512, 32, 389

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 389 is 389

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(320, 512) = 2560

GCD(320, 512) = ( 320 x 512 ) / 2560

GCD(320, 512) = 163840 / 2560

GCD(320, 512) = 64

Step2:

Here we consider the GCD from the above i.e. 64 as first number and the next as 32

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

LCM(64, 32) = 64

GCD(64, 32) = ( 64 x 32 ) / 64

GCD(64, 32) = 2048 / 64

GCD(64, 32) = 32

Step3:

Here we consider the GCD from the above i.e. 32 as first number and the next as 389

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

LCM(32, 389) = 12448

GCD(32, 389) = ( 32 x 389 ) / 12448

GCD(32, 389) = 12448 / 12448

GCD(32, 389) = 1

GCD of 320, 512, 32, 389 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 361, 78, 678
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• GCD of 602, 411, 29, 121
• GCD of 873, 357, 69, 811

1. What is the GCD of 320, 512, 32, 389?

GCD of 320, 512, 32, 389 is 1

2. Where do I get the detailed procedure to find GCD of 320, 512, 32, 389?

You can find a detailed procedure to find GCD of 320, 512, 32, 389 on our page.

3. How to find GCD of 320, 512, 32, 389 on a calculator?

You can find the GCD of 320, 512, 32, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.