GCD of 728, 349, 254, 234 Calculator

Given Input numbers are 728, 349, 254, 234

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 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 728, 349, 254, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 349, 254, 234 is 1.

Therefore, GCD of numbers 728, 349, 254, 234 is 1

Given Input Data is 728, 349, 254, 234

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 349 is 349

Prime Factorization of 254 is 2 x 127

Prime Factorization of 234 is 2 x 3 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(728, 349) = 254072

GCD(728, 349) = ( 728 x 349 ) / 254072

GCD(728, 349) = 254072 / 254072

GCD(728, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 728, 349, 254, 234 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 139, 181, 678
• GCD of 336, 709, 252, 842
• GCD of 360, 753, 627, 773
• GCD of 247, 678, 759, 463
• GCD of 213, 456, 220, 893

1. What is the GCD of 728, 349, 254, 234?

GCD of 728, 349, 254, 234 is 1

2. Where do I get the detailed procedure to find GCD of 728, 349, 254, 234?

You can find a detailed procedure to find GCD of 728, 349, 254, 234 on our page.

3. How to find GCD of 728, 349, 254, 234 on a calculator?

You can find the GCD of 728, 349, 254, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.