GCD of 304, 376, 18, 493 Calculator

Given Input numbers are 304, 376, 18, 493

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 493

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

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 304, 376, 18, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 376, 18, 493 is 1.

Therefore, GCD of numbers 304, 376, 18, 493 is 1

Given Input Data is 304, 376, 18, 493

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 493 is 17 x 29

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(304, 376) = 14288

GCD(304, 376) = ( 304 x 376 ) / 14288

GCD(304, 376) = 114304 / 14288

GCD(304, 376) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 18

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

LCM(8, 18) = 72

GCD(8, 18) = ( 8 x 18 ) / 72

GCD(8, 18) = 144 / 72

GCD(8, 18) = 2

Step3:

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

GCD of 304, 376, 18, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 701, 79, 289
• GCD of 234, 961, 82, 898
• GCD of 163, 624, 79, 778
• GCD of 908, 914, 44, 315
• GCD of 878, 297, 42, 401

1. What is the GCD of 304, 376, 18, 493?

GCD of 304, 376, 18, 493 is 1

2. Where do I get the detailed procedure to find GCD of 304, 376, 18, 493?

You can find a detailed procedure to find GCD of 304, 376, 18, 493 on our page.

3. How to find GCD of 304, 376, 18, 493 on a calculator?

You can find the GCD of 304, 376, 18, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.