GCD of 474, 442, 793, 173 Calculator

Given Input numbers are 474, 442, 793, 173

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

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 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 474, 442, 793, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 442, 793, 173 is 1.

Therefore, GCD of numbers 474, 442, 793, 173 is 1

Given Input Data is 474, 442, 793, 173

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 793 is 13 x 61

Prime Factorization of 173 is 173

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(474, 442) = 104754

GCD(474, 442) = ( 474 x 442 ) / 104754

GCD(474, 442) = 209508 / 104754

GCD(474, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 793

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

LCM(2, 793) = 1586

GCD(2, 793) = ( 2 x 793 ) / 1586

GCD(2, 793) = 1586 / 1586

GCD(2, 793) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

GCD of 474, 442, 793, 173 is 1

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1. What is the GCD of 474, 442, 793, 173?

GCD of 474, 442, 793, 173 is 1

2. Where do I get the detailed procedure to find GCD of 474, 442, 793, 173?

You can find a detailed procedure to find GCD of 474, 442, 793, 173 on our page.

3. How to find GCD of 474, 442, 793, 173 on a calculator?

You can find the GCD of 474, 442, 793, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.