GCD of 489, 189, 303, 681 Calculator

Given Input numbers are 489, 189, 303, 681

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 489, 189, 303, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 189, 303, 681 is 3.

Therefore, GCD of numbers 489, 189, 303, 681 is 3

Given Input Data is 489, 189, 303, 681

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 303 is 3 x 101

Prime Factorization of 681 is 3 x 227

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 189) = 30807

GCD(489, 189) = ( 489 x 189 ) / 30807

GCD(489, 189) = 92421 / 30807

GCD(489, 189) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 303

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

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

GCD(3, 303) = 909 / 303

GCD(3, 303) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 681

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

LCM(3, 681) = 681

GCD(3, 681) = ( 3 x 681 ) / 681

GCD(3, 681) = 2043 / 681

GCD(3, 681) = 3

GCD of 489, 189, 303, 681 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 508, 696, 420
• GCD of 538, 216, 897, 806
• GCD of 662, 745, 766, 248
• GCD of 295, 491, 800, 251
• GCD of 933, 232, 269, 896

1. What is the GCD of 489, 189, 303, 681?

GCD of 489, 189, 303, 681 is 3

2. Where do I get the detailed procedure to find GCD of 489, 189, 303, 681?

You can find a detailed procedure to find GCD of 489, 189, 303, 681 on our page.

3. How to find GCD of 489, 189, 303, 681 on a calculator?

You can find the GCD of 489, 189, 303, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.