GCD of 18, 276, 301, 494 Calculator

Given Input numbers are 18, 276, 301, 494

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

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

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 18, 276, 301, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 276, 301, 494 is 1.

Therefore, GCD of numbers 18, 276, 301, 494 is 1

Given Input Data is 18, 276, 301, 494

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 301 is 7 x 43

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(18, 276) = 828

GCD(18, 276) = ( 18 x 276 ) / 828

GCD(18, 276) = 4968 / 828

GCD(18, 276) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 301

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

LCM(6, 301) = 1806

GCD(6, 301) = ( 6 x 301 ) / 1806

GCD(6, 301) = 1806 / 1806

GCD(6, 301) = 1

Step3:

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

GCD of 18, 276, 301, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 220, 419, 499
• GCD of 34, 350, 207, 391
• GCD of 72, 525, 458, 426
• GCD of 75, 871, 437, 393
• GCD of 71, 513, 352, 270

1. What is the GCD of 18, 276, 301, 494?

GCD of 18, 276, 301, 494 is 1

2. Where do I get the detailed procedure to find GCD of 18, 276, 301, 494?

You can find a detailed procedure to find GCD of 18, 276, 301, 494 on our page.

3. How to find GCD of 18, 276, 301, 494 on a calculator?

You can find the GCD of 18, 276, 301, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.