GCD of 307, 585, 494, 536 Calculator

Given Input numbers are 307, 585, 494, 536

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

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 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Greatest Common Divisior

We found the divisors of 307, 585, 494, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 585, 494, 536 is 1.

Therefore, GCD of numbers 307, 585, 494, 536 is 1

Given Input Data is 307, 585, 494, 536

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

Prime Factorization of 307 is 307

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 536 is 2 x 2 x 2 x 67

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(307, 585) = 179595

GCD(307, 585) = ( 307 x 585 ) / 179595

GCD(307, 585) = 179595 / 179595

GCD(307, 585) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 536

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

LCM(1, 536) = 536

GCD(1, 536) = ( 1 x 536 ) / 536

GCD(1, 536) = 536 / 536

GCD(1, 536) = 1

GCD of 307, 585, 494, 536 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 588, 316, 466
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• GCD of 242, 784, 477, 806

1. What is the GCD of 307, 585, 494, 536?

GCD of 307, 585, 494, 536 is 1

2. Where do I get the detailed procedure to find GCD of 307, 585, 494, 536?

You can find a detailed procedure to find GCD of 307, 585, 494, 536 on our page.

3. How to find GCD of 307, 585, 494, 536 on a calculator?

You can find the GCD of 307, 585, 494, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.