GCD of 530, 368, 493, 409 Calculator

Given Input numbers are 530, 368, 493, 409

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

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

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 530, 368, 493, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 368, 493, 409 is 1.

Therefore, GCD of numbers 530, 368, 493, 409 is 1

Given Input Data is 530, 368, 493, 409

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

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 493 is 17 x 29

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(530, 368) = 97520

GCD(530, 368) = ( 530 x 368 ) / 97520

GCD(530, 368) = 195040 / 97520

GCD(530, 368) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 493

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

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

GCD(2, 493) = 986 / 986

GCD(2, 493) = 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 530, 368, 493, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 320, 420, 367
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• GCD of 985, 143, 703, 951
• GCD of 541, 501, 646, 447

1. What is the GCD of 530, 368, 493, 409?

GCD of 530, 368, 493, 409 is 1

2. Where do I get the detailed procedure to find GCD of 530, 368, 493, 409?

You can find a detailed procedure to find GCD of 530, 368, 493, 409 on our page.

3. How to find GCD of 530, 368, 493, 409 on a calculator?

You can find the GCD of 530, 368, 493, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.