GCD of 549, 744, 631, 312 Calculator

Given Input numbers are 549, 744, 631, 312

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

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

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 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 549, 744, 631, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 744, 631, 312 is 1.

Therefore, GCD of numbers 549, 744, 631, 312 is 1

Given Input Data is 549, 744, 631, 312

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

Prime Factorization of 549 is 3 x 3 x 61

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

Prime Factorization of 631 is 631

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(549, 744) = 136152

GCD(549, 744) = ( 549 x 744 ) / 136152

GCD(549, 744) = 408456 / 136152

GCD(549, 744) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 631

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

LCM(3, 631) = 1893

GCD(3, 631) = ( 3 x 631 ) / 1893

GCD(3, 631) = 1893 / 1893

GCD(3, 631) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 549, 744, 631, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 480, 124, 994
• GCD of 106, 720, 592, 152
• GCD of 321, 568, 719, 937
• GCD of 514, 594, 255, 437
• GCD of 241, 987, 693, 385

1. What is the GCD of 549, 744, 631, 312?

GCD of 549, 744, 631, 312 is 1

2. Where do I get the detailed procedure to find GCD of 549, 744, 631, 312?

You can find a detailed procedure to find GCD of 549, 744, 631, 312 on our page.

3. How to find GCD of 549, 744, 631, 312 on a calculator?

You can find the GCD of 549, 744, 631, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.