GCD of 449, 716, 58, 367 Calculator

Given Input numbers are 449, 716, 58, 367

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

Divisors of 449

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

1, 449

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 58

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

1, 2, 29, 58

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 449, 716, 58, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 716, 58, 367 is 1.

Therefore, GCD of numbers 449, 716, 58, 367 is 1

Given Input Data is 449, 716, 58, 367

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

Prime Factorization of 449 is 449

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 58 is 2 x 29

Prime Factorization of 367 is 367

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(449, 716) = 321484

GCD(449, 716) = ( 449 x 716 ) / 321484

GCD(449, 716) = 321484 / 321484

GCD(449, 716) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

GCD of 449, 716, 58, 367 is 1

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1. What is the GCD of 449, 716, 58, 367?

GCD of 449, 716, 58, 367 is 1

2. Where do I get the detailed procedure to find GCD of 449, 716, 58, 367?

You can find a detailed procedure to find GCD of 449, 716, 58, 367 on our page.

3. How to find GCD of 449, 716, 58, 367 on a calculator?

You can find the GCD of 449, 716, 58, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.