GCD of 578, 288, 609, 608 Calculator

Given Input numbers are 578, 288, 609, 608

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 578, 288, 609, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 288, 609, 608 is 1.

Therefore, GCD of numbers 578, 288, 609, 608 is 1

Given Input Data is 578, 288, 609, 608

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 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(578, 288) = 83232

GCD(578, 288) = ( 578 x 288 ) / 83232

GCD(578, 288) = 166464 / 83232

GCD(578, 288) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 609

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

LCM(2, 609) = 1218

GCD(2, 609) = ( 2 x 609 ) / 1218

GCD(2, 609) = 1218 / 1218

GCD(2, 609) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

GCD of 578, 288, 609, 608 is 1

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1. What is the GCD of 578, 288, 609, 608?

GCD of 578, 288, 609, 608 is 1

2. Where do I get the detailed procedure to find GCD of 578, 288, 609, 608?

You can find a detailed procedure to find GCD of 578, 288, 609, 608 on our page.

3. How to find GCD of 578, 288, 609, 608 on a calculator?

You can find the GCD of 578, 288, 609, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.