GCD of 728, 637, 228, 548 Calculator

Given Input numbers are 728, 637, 228, 548

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 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 728, 637, 228, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 637, 228, 548 is 1.

Therefore, GCD of numbers 728, 637, 228, 548 is 1

Given Input Data is 728, 637, 228, 548

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 637 is 7 x 7 x 13

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 548 is 2 x 2 x 137

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, 637) = 5096

GCD(728, 637) = ( 728 x 637 ) / 5096

GCD(728, 637) = 463736 / 5096

GCD(728, 637) = 91

Step2:

Here we consider the GCD from the above i.e. 91 as first number and the next as 228

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

LCM(91, 228) = 20748

GCD(91, 228) = ( 91 x 228 ) / 20748

GCD(91, 228) = 20748 / 20748

GCD(91, 228) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

GCD of 728, 637, 228, 548 is 1

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1. What is the GCD of 728, 637, 228, 548?

GCD of 728, 637, 228, 548 is 1

2. Where do I get the detailed procedure to find GCD of 728, 637, 228, 548?

You can find a detailed procedure to find GCD of 728, 637, 228, 548 on our page.

3. How to find GCD of 728, 637, 228, 548 on a calculator?

You can find the GCD of 728, 637, 228, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.