GCD of 728, 404, 37, 549 Calculator

Given Input numbers are 728, 404, 37, 549

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 549

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

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 728, 404, 37, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 404, 37, 549 is 1.

Therefore, GCD of numbers 728, 404, 37, 549 is 1

Given Input Data is 728, 404, 37, 549

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 37 is 37

Prime Factorization of 549 is 3 x 3 x 61

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(728, 404) = 73528

GCD(728, 404) = ( 728 x 404 ) / 73528

GCD(728, 404) = 294112 / 73528

GCD(728, 404) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 37

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

LCM(4, 37) = 148

GCD(4, 37) = ( 4 x 37 ) / 148

GCD(4, 37) = 148 / 148

GCD(4, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 549

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

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

GCD(1, 549) = 549 / 549

GCD(1, 549) = 1

GCD of 728, 404, 37, 549 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 708, 15, 263
• GCD of 916, 642, 75, 306
• GCD of 215, 285, 55, 958
• GCD of 969, 275, 75, 206
• GCD of 991, 610, 64, 555

1. What is the GCD of 728, 404, 37, 549?

GCD of 728, 404, 37, 549 is 1

2. Where do I get the detailed procedure to find GCD of 728, 404, 37, 549?

You can find a detailed procedure to find GCD of 728, 404, 37, 549 on our page.

3. How to find GCD of 728, 404, 37, 549 on a calculator?

You can find the GCD of 728, 404, 37, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.