GCD of 489, 305, 32, 678 Calculator

Given Input numbers are 489, 305, 32, 678

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 489, 305, 32, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 305, 32, 678 is 1.

Therefore, GCD of numbers 489, 305, 32, 678 is 1

Given Input Data is 489, 305, 32, 678

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 305 is 5 x 61

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 678 is 2 x 3 x 113

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, 305) = 149145

GCD(489, 305) = ( 489 x 305 ) / 149145

GCD(489, 305) = 149145 / 149145

GCD(489, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 489, 305, 32, 678 is 1

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1. What is the GCD of 489, 305, 32, 678?

GCD of 489, 305, 32, 678 is 1

2. Where do I get the detailed procedure to find GCD of 489, 305, 32, 678?

You can find a detailed procedure to find GCD of 489, 305, 32, 678 on our page.

3. How to find GCD of 489, 305, 32, 678 on a calculator?

You can find the GCD of 489, 305, 32, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.