GCD of 728, 200, 55, 229 Calculator

Given Input numbers are 728, 200, 55, 229

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 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 728, 200, 55, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 200, 55, 229 is 1.

Therefore, GCD of numbers 728, 200, 55, 229 is 1

Given Input Data is 728, 200, 55, 229

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 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 55 is 5 x 11

Prime Factorization of 229 is 229

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, 200) = 18200

GCD(728, 200) = ( 728 x 200 ) / 18200

GCD(728, 200) = 145600 / 18200

GCD(728, 200) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 55

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

LCM(8, 55) = 440

GCD(8, 55) = ( 8 x 55 ) / 440

GCD(8, 55) = 440 / 440

GCD(8, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 728, 200, 55, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 192, 81, 331
• GCD of 352, 300, 49, 978
• GCD of 420, 935, 80, 785
• GCD of 525, 438, 97, 795
• GCD of 936, 248, 71, 348

1. What is the GCD of 728, 200, 55, 229?

GCD of 728, 200, 55, 229 is 1

2. Where do I get the detailed procedure to find GCD of 728, 200, 55, 229?

You can find a detailed procedure to find GCD of 728, 200, 55, 229 on our page.

3. How to find GCD of 728, 200, 55, 229 on a calculator?

You can find the GCD of 728, 200, 55, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.