GCD of 249, 477, 442, 713 Calculator

Given Input numbers are 249, 477, 442, 713

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 249, 477, 442, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 477, 442, 713 is 1.

Therefore, GCD of numbers 249, 477, 442, 713 is 1

Given Input Data is 249, 477, 442, 713

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 713 is 23 x 31

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(249, 477) = 39591

GCD(249, 477) = ( 249 x 477 ) / 39591

GCD(249, 477) = 118773 / 39591

GCD(249, 477) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 442

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

LCM(3, 442) = 1326

GCD(3, 442) = ( 3 x 442 ) / 1326

GCD(3, 442) = 1326 / 1326

GCD(3, 442) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 249, 477, 442, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 567, 384, 835
• GCD of 539, 759, 359, 285
• GCD of 476, 881, 452, 594
• GCD of 357, 191, 238, 365
• GCD of 662, 551, 765, 833

1. What is the GCD of 249, 477, 442, 713?

GCD of 249, 477, 442, 713 is 1

2. Where do I get the detailed procedure to find GCD of 249, 477, 442, 713?

You can find a detailed procedure to find GCD of 249, 477, 442, 713 on our page.

3. How to find GCD of 249, 477, 442, 713 on a calculator?

You can find the GCD of 249, 477, 442, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.