GCD of 308, 585, 28, 409 Calculator

Given Input numbers are 308, 585, 28, 409

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 308, 585, 28, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 585, 28, 409 is 1.

Therefore, GCD of numbers 308, 585, 28, 409 is 1

Given Input Data is 308, 585, 28, 409

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 409 is 409

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(308, 585) = 180180

GCD(308, 585) = ( 308 x 585 ) / 180180

GCD(308, 585) = 180180 / 180180

GCD(308, 585) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 308, 585, 28, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 731, 62, 330
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• GCD of 649, 455, 26, 255
• GCD of 726, 299, 72, 856
• GCD of 944, 768, 58, 436

1. What is the GCD of 308, 585, 28, 409?

GCD of 308, 585, 28, 409 is 1

2. Where do I get the detailed procedure to find GCD of 308, 585, 28, 409?

You can find a detailed procedure to find GCD of 308, 585, 28, 409 on our page.

3. How to find GCD of 308, 585, 28, 409 on a calculator?

You can find the GCD of 308, 585, 28, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.