GCD of 18, 682, 676, 306 Calculator

Given Input numbers are 18, 682, 676, 306

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 18, 682, 676, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 682, 676, 306 is 2.

Therefore, GCD of numbers 18, 682, 676, 306 is 2

Given Input Data is 18, 682, 676, 306

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 306 is 2 x 3 x 3 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(18, 682) = 6138

GCD(18, 682) = ( 18 x 682 ) / 6138

GCD(18, 682) = 12276 / 6138

GCD(18, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 676

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

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

GCD(2, 676) = 1352 / 676

GCD(2, 676) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 306

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

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

GCD(2, 306) = 612 / 306

GCD(2, 306) = 2

GCD of 18, 682, 676, 306 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 993, 825, 247
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• GCD of 13, 813, 557, 554
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• GCD of 72, 238, 579, 329

1. What is the GCD of 18, 682, 676, 306?

GCD of 18, 682, 676, 306 is 2

2. Where do I get the detailed procedure to find GCD of 18, 682, 676, 306?

You can find a detailed procedure to find GCD of 18, 682, 676, 306 on our page.

3. How to find GCD of 18, 682, 676, 306 on a calculator?

You can find the GCD of 18, 682, 676, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.