GCD of 230, 449, 34, 738 Calculator

Given Input numbers are 230, 449, 34, 738

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 230, 449, 34, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 449, 34, 738 is 1.

Therefore, GCD of numbers 230, 449, 34, 738 is 1

Given Input Data is 230, 449, 34, 738

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 449 is 449

Prime Factorization of 34 is 2 x 17

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(230, 449) = 103270

GCD(230, 449) = ( 230 x 449 ) / 103270

GCD(230, 449) = 103270 / 103270

GCD(230, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 230, 449, 34, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 477, 42, 379
• GCD of 247, 233, 83, 996
• GCD of 788, 515, 82, 436
• GCD of 188, 920, 73, 577
• GCD of 246, 393, 92, 489

1. What is the GCD of 230, 449, 34, 738?

GCD of 230, 449, 34, 738 is 1

2. Where do I get the detailed procedure to find GCD of 230, 449, 34, 738?

You can find a detailed procedure to find GCD of 230, 449, 34, 738 on our page.

3. How to find GCD of 230, 449, 34, 738 on a calculator?

You can find the GCD of 230, 449, 34, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.