GCD of 320, 260, 813, 584 Calculator

Given Input numbers are 320, 260, 813, 584

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 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 320, 260, 813, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 260, 813, 584 is 1.

Therefore, GCD of numbers 320, 260, 813, 584 is 1

Given Input Data is 320, 260, 813, 584

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 260 is 2 x 2 x 5 x 13

Prime Factorization of 813 is 3 x 271

Prime Factorization of 584 is 2 x 2 x 2 x 73

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, 260) = 4160

GCD(320, 260) = ( 320 x 260 ) / 4160

GCD(320, 260) = 83200 / 4160

GCD(320, 260) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 813

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

LCM(20, 813) = 16260

GCD(20, 813) = ( 20 x 813 ) / 16260

GCD(20, 813) = 16260 / 16260

GCD(20, 813) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 320, 260, 813, 584 is 1

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1. What is the GCD of 320, 260, 813, 584?

GCD of 320, 260, 813, 584 is 1

2. Where do I get the detailed procedure to find GCD of 320, 260, 813, 584?

You can find a detailed procedure to find GCD of 320, 260, 813, 584 on our page.

3. How to find GCD of 320, 260, 813, 584 on a calculator?

You can find the GCD of 320, 260, 813, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.