GCD of 18, 298, 744, 309 Calculator

Given Input numbers are 18, 298, 744, 309

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 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 18, 298, 744, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 298, 744, 309 is 1.

Therefore, GCD of numbers 18, 298, 744, 309 is 1

Given Input Data is 18, 298, 744, 309

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 298 is 2 x 149

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 309 is 3 x 103

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, 298) = 2682

GCD(18, 298) = ( 18 x 298 ) / 2682

GCD(18, 298) = 5364 / 2682

GCD(18, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 744

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

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

GCD(2, 744) = 1488 / 744

GCD(2, 744) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

GCD of 18, 298, 744, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 291, 417, 481
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• GCD of 52, 828, 798, 509
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• GCD of 63, 215, 863, 747

1. What is the GCD of 18, 298, 744, 309?

GCD of 18, 298, 744, 309 is 1

2. Where do I get the detailed procedure to find GCD of 18, 298, 744, 309?

You can find a detailed procedure to find GCD of 18, 298, 744, 309 on our page.

3. How to find GCD of 18, 298, 744, 309 on a calculator?

You can find the GCD of 18, 298, 744, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.