GCD of 304, 912, 658, 489 Calculator

Given Input numbers are 304, 912, 658, 489

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 489

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

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 304, 912, 658, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 912, 658, 489 is 1.

Therefore, GCD of numbers 304, 912, 658, 489 is 1

Given Input Data is 304, 912, 658, 489

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 489 is 3 x 163

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(304, 912) = 912

GCD(304, 912) = ( 304 x 912 ) / 912

GCD(304, 912) = 277248 / 912

GCD(304, 912) = 304

Step2:

Here we consider the GCD from the above i.e. 304 as first number and the next as 658

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

LCM(304, 658) = 100016

GCD(304, 658) = ( 304 x 658 ) / 100016

GCD(304, 658) = 200032 / 100016

GCD(304, 658) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 489

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

LCM(2, 489) = 978

GCD(2, 489) = ( 2 x 489 ) / 978

GCD(2, 489) = 978 / 978

GCD(2, 489) = 1

GCD of 304, 912, 658, 489 is 1

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1. What is the GCD of 304, 912, 658, 489?

GCD of 304, 912, 658, 489 is 1

2. Where do I get the detailed procedure to find GCD of 304, 912, 658, 489?

You can find a detailed procedure to find GCD of 304, 912, 658, 489 on our page.

3. How to find GCD of 304, 912, 658, 489 on a calculator?

You can find the GCD of 304, 912, 658, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.