GCD of 18, 711, 449, 742 Calculator

Given Input numbers are 18, 711, 449, 742

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 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 18, 711, 449, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 711, 449, 742 is 1.

Therefore, GCD of numbers 18, 711, 449, 742 is 1

Given Input Data is 18, 711, 449, 742

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 711 is 3 x 3 x 79

Prime Factorization of 449 is 449

Prime Factorization of 742 is 2 x 7 x 53

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, 711) = 1422

GCD(18, 711) = ( 18 x 711 ) / 1422

GCD(18, 711) = 12798 / 1422

GCD(18, 711) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 449

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

LCM(9, 449) = 4041

GCD(9, 449) = ( 9 x 449 ) / 4041

GCD(9, 449) = 4041 / 4041

GCD(9, 449) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 18, 711, 449, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 863, 522, 826
• GCD of 24, 706, 204, 465
• GCD of 55, 741, 570, 780
• GCD of 27, 344, 744, 357
• GCD of 86, 383, 863, 225

1. What is the GCD of 18, 711, 449, 742?

GCD of 18, 711, 449, 742 is 1

2. Where do I get the detailed procedure to find GCD of 18, 711, 449, 742?

You can find a detailed procedure to find GCD of 18, 711, 449, 742 on our page.

3. How to find GCD of 18, 711, 449, 742 on a calculator?

You can find the GCD of 18, 711, 449, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.