GCD of 574, 441, 609, 342 Calculator

Given Input numbers are 574, 441, 609, 342

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 574, 441, 609, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 441, 609, 342 is 1.

Therefore, GCD of numbers 574, 441, 609, 342 is 1

Given Input Data is 574, 441, 609, 342

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(574, 441) = 36162

GCD(574, 441) = ( 574 x 441 ) / 36162

GCD(574, 441) = 253134 / 36162

GCD(574, 441) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 609

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

LCM(7, 609) = 609

GCD(7, 609) = ( 7 x 609 ) / 609

GCD(7, 609) = 4263 / 609

GCD(7, 609) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 342

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

LCM(7, 342) = 2394

GCD(7, 342) = ( 7 x 342 ) / 2394

GCD(7, 342) = 2394 / 2394

GCD(7, 342) = 1

GCD of 574, 441, 609, 342 is 1

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• GCD of 470, 679, 173, 163
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1. What is the GCD of 574, 441, 609, 342?

GCD of 574, 441, 609, 342 is 1

2. Where do I get the detailed procedure to find GCD of 574, 441, 609, 342?

You can find a detailed procedure to find GCD of 574, 441, 609, 342 on our page.

3. How to find GCD of 574, 441, 609, 342 on a calculator?

You can find the GCD of 574, 441, 609, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.