GCD of 442, 704, 999, 179 Calculator

Given Input numbers are 442, 704, 999, 179

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

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 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Greatest Common Divisior

We found the divisors of 442, 704, 999, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 704, 999, 179 is 1.

Therefore, GCD of numbers 442, 704, 999, 179 is 1

Given Input Data is 442, 704, 999, 179

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

Prime Factorization of 442 is 2 x 13 x 17

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 179 is 179

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(442, 704) = 155584

GCD(442, 704) = ( 442 x 704 ) / 155584

GCD(442, 704) = 311168 / 155584

GCD(442, 704) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 999

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

LCM(2, 999) = 1998

GCD(2, 999) = ( 2 x 999 ) / 1998

GCD(2, 999) = 1998 / 1998

GCD(2, 999) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 179

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

LCM(1, 179) = 179

GCD(1, 179) = ( 1 x 179 ) / 179

GCD(1, 179) = 179 / 179

GCD(1, 179) = 1

GCD of 442, 704, 999, 179 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 924, 120, 386
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• GCD of 504, 309, 939, 710

1. What is the GCD of 442, 704, 999, 179?

GCD of 442, 704, 999, 179 is 1

2. Where do I get the detailed procedure to find GCD of 442, 704, 999, 179?

You can find a detailed procedure to find GCD of 442, 704, 999, 179 on our page.

3. How to find GCD of 442, 704, 999, 179 on a calculator?

You can find the GCD of 442, 704, 999, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.