GCD of 489, 621, 235, 302 Calculator

Given Input numbers are 489, 621, 235, 302

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 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 489, 621, 235, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 621, 235, 302 is 1.

Therefore, GCD of numbers 489, 621, 235, 302 is 1

Given Input Data is 489, 621, 235, 302

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 235 is 5 x 47

Prime Factorization of 302 is 2 x 151

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, 621) = 101223

GCD(489, 621) = ( 489 x 621 ) / 101223

GCD(489, 621) = 303669 / 101223

GCD(489, 621) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 235

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

LCM(3, 235) = 705

GCD(3, 235) = ( 3 x 235 ) / 705

GCD(3, 235) = 705 / 705

GCD(3, 235) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 489, 621, 235, 302 is 1

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1. What is the GCD of 489, 621, 235, 302?

GCD of 489, 621, 235, 302 is 1

2. Where do I get the detailed procedure to find GCD of 489, 621, 235, 302?

You can find a detailed procedure to find GCD of 489, 621, 235, 302 on our page.

3. How to find GCD of 489, 621, 235, 302 on a calculator?

You can find the GCD of 489, 621, 235, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.