GCD of 585, 312, 48, 494 Calculator

Given Input numbers are 585, 312, 48, 494

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

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 494

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

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

Greatest Common Divisior

We found the divisors of 585, 312, 48, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 312, 48, 494 is 1.

Therefore, GCD of numbers 585, 312, 48, 494 is 1

Given Input Data is 585, 312, 48, 494

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

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 494 is 2 x 13 x 19

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(585, 312) = 4680

GCD(585, 312) = ( 585 x 312 ) / 4680

GCD(585, 312) = 182520 / 4680

GCD(585, 312) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 48

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

LCM(39, 48) = 624

GCD(39, 48) = ( 39 x 48 ) / 624

GCD(39, 48) = 1872 / 624

GCD(39, 48) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 494

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

LCM(3, 494) = 1482

GCD(3, 494) = ( 3 x 494 ) / 1482

GCD(3, 494) = 1482 / 1482

GCD(3, 494) = 1

GCD of 585, 312, 48, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 223, 62, 119
• GCD of 281, 212, 18, 308
• GCD of 776, 729, 98, 570
• GCD of 132, 232, 45, 827
• GCD of 980, 873, 90, 807

1. What is the GCD of 585, 312, 48, 494?

GCD of 585, 312, 48, 494 is 1

2. Where do I get the detailed procedure to find GCD of 585, 312, 48, 494?

You can find a detailed procedure to find GCD of 585, 312, 48, 494 on our page.

3. How to find GCD of 585, 312, 48, 494 on a calculator?

You can find the GCD of 585, 312, 48, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.