GCD of 558, 742, 195, 474 Calculator

Given Input numbers are 558, 742, 195, 474

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

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 474

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

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

Greatest Common Divisior

We found the divisors of 558, 742, 195, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 742, 195, 474 is 1.

Therefore, GCD of numbers 558, 742, 195, 474 is 1

Given Input Data is 558, 742, 195, 474

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

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 474 is 2 x 3 x 79

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(558, 742) = 207018

GCD(558, 742) = ( 558 x 742 ) / 207018

GCD(558, 742) = 414036 / 207018

GCD(558, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 195

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

LCM(2, 195) = 390

GCD(2, 195) = ( 2 x 195 ) / 390

GCD(2, 195) = 390 / 390

GCD(2, 195) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 558, 742, 195, 474 is 1

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1. What is the GCD of 558, 742, 195, 474?

GCD of 558, 742, 195, 474 is 1

2. Where do I get the detailed procedure to find GCD of 558, 742, 195, 474?

You can find a detailed procedure to find GCD of 558, 742, 195, 474 on our page.

3. How to find GCD of 558, 742, 195, 474 on a calculator?

You can find the GCD of 558, 742, 195, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.