GCD of 449, 679, 14, 799 Calculator

Given Input numbers are 449, 679, 14, 799

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 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Greatest Common Divisior

We found the divisors of 449, 679, 14, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 679, 14, 799 is 1.

Therefore, GCD of numbers 449, 679, 14, 799 is 1

Given Input Data is 449, 679, 14, 799

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

Prime Factorization of 449 is 449

Prime Factorization of 679 is 7 x 97

Prime Factorization of 14 is 2 x 7

Prime Factorization of 799 is 17 x 47

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, 679) = 304871

GCD(449, 679) = ( 449 x 679 ) / 304871

GCD(449, 679) = 304871 / 304871

GCD(449, 679) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 799

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

LCM(1, 799) = 799

GCD(1, 799) = ( 1 x 799 ) / 799

GCD(1, 799) = 799 / 799

GCD(1, 799) = 1

GCD of 449, 679, 14, 799 is 1

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1. What is the GCD of 449, 679, 14, 799?

GCD of 449, 679, 14, 799 is 1

2. Where do I get the detailed procedure to find GCD of 449, 679, 14, 799?

You can find a detailed procedure to find GCD of 449, 679, 14, 799 on our page.

3. How to find GCD of 449, 679, 14, 799 on a calculator?

You can find the GCD of 449, 679, 14, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.