GCD of 474, 609, 198, 609 Calculator

Given Input numbers are 474, 609, 198, 609

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 609

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

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 609

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

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

Greatest Common Divisior

We found the divisors of 474, 609, 198, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 609, 198, 609 is 3.

Therefore, GCD of numbers 474, 609, 198, 609 is 3

Given Input Data is 474, 609, 198, 609

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 609 is 3 x 7 x 29

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 609 is 3 x 7 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 609) = 96222

GCD(474, 609) = ( 474 x 609 ) / 96222

GCD(474, 609) = 288666 / 96222

GCD(474, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 198

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

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

GCD(3, 198) = 594 / 198

GCD(3, 198) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 609

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

LCM(3, 609) = 609

GCD(3, 609) = ( 3 x 609 ) / 609

GCD(3, 609) = 1827 / 609

GCD(3, 609) = 3

GCD of 474, 609, 198, 609 is 3

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1. What is the GCD of 474, 609, 198, 609?

GCD of 474, 609, 198, 609 is 3

2. Where do I get the detailed procedure to find GCD of 474, 609, 198, 609?

You can find a detailed procedure to find GCD of 474, 609, 198, 609 on our page.

3. How to find GCD of 474, 609, 198, 609 on a calculator?

You can find the GCD of 474, 609, 198, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.