GCD of 489, 704, 68, 578 Calculator

Given Input numbers are 489, 704, 68, 578

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

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 578

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

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 489, 704, 68, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 704, 68, 578 is 1.

Therefore, GCD of numbers 489, 704, 68, 578 is 1

Given Input Data is 489, 704, 68, 578

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 578 is 2 x 17 x 17

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(489, 704) = 344256

GCD(489, 704) = ( 489 x 704 ) / 344256

GCD(489, 704) = 344256 / 344256

GCD(489, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 489, 704, 68, 578 is 1

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1. What is the GCD of 489, 704, 68, 578?

GCD of 489, 704, 68, 578 is 1

2. Where do I get the detailed procedure to find GCD of 489, 704, 68, 578?

You can find a detailed procedure to find GCD of 489, 704, 68, 578 on our page.

3. How to find GCD of 489, 704, 68, 578 on a calculator?

You can find the GCD of 489, 704, 68, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.