GCD of 58, 704, 457, 449 Calculator

Given Input numbers are 58, 704, 457, 449

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 449

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

1, 449

Greatest Common Divisior

We found the divisors of 58, 704, 457, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 704, 457, 449 is 1.

Therefore, GCD of numbers 58, 704, 457, 449 is 1

Given Input Data is 58, 704, 457, 449

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 457 is 457

Prime Factorization of 449 is 449

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(58, 704) = 20416

GCD(58, 704) = ( 58 x 704 ) / 20416

GCD(58, 704) = 40832 / 20416

GCD(58, 704) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 457

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

LCM(2, 457) = 914

GCD(2, 457) = ( 2 x 457 ) / 914

GCD(2, 457) = 914 / 914

GCD(2, 457) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 1

GCD of 58, 704, 457, 449 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 750, 792, 831
• GCD of 99, 740, 185, 706
• GCD of 58, 787, 195, 511
• GCD of 31, 294, 186, 506
• GCD of 97, 982, 826, 244

1. What is the GCD of 58, 704, 457, 449?

GCD of 58, 704, 457, 449 is 1

2. Where do I get the detailed procedure to find GCD of 58, 704, 457, 449?

You can find a detailed procedure to find GCD of 58, 704, 457, 449 on our page.

3. How to find GCD of 58, 704, 457, 449 on a calculator?

You can find the GCD of 58, 704, 457, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.