GCD of 320, 384, 569, 467 Calculator

Given Input numbers are 320, 384, 569, 467

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 384

List of positive integer divisors of 384 that divides 384 without a remainder.

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

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 320, 384, 569, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 384, 569, 467 is 1.

Therefore, GCD of numbers 320, 384, 569, 467 is 1

Given Input Data is 320, 384, 569, 467

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 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 569 is 569

Prime Factorization of 467 is 467

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, 384) = 1920

GCD(320, 384) = ( 320 x 384 ) / 1920

GCD(320, 384) = 122880 / 1920

GCD(320, 384) = 64

Step2:

Here we consider the GCD from the above i.e. 64 as first number and the next as 569

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

LCM(64, 569) = 36416

GCD(64, 569) = ( 64 x 569 ) / 36416

GCD(64, 569) = 36416 / 36416

GCD(64, 569) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 467

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

LCM(1, 467) = 467

GCD(1, 467) = ( 1 x 467 ) / 467

GCD(1, 467) = 467 / 467

GCD(1, 467) = 1

GCD of 320, 384, 569, 467 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 103, 500, 212
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• GCD of 150, 587, 214, 661
• GCD of 720, 718, 781, 944
• GCD of 989, 182, 544, 144

1. What is the GCD of 320, 384, 569, 467?

GCD of 320, 384, 569, 467 is 1

2. Where do I get the detailed procedure to find GCD of 320, 384, 569, 467?

You can find a detailed procedure to find GCD of 320, 384, 569, 467 on our page.

3. How to find GCD of 320, 384, 569, 467 on a calculator?

You can find the GCD of 320, 384, 569, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.