GCD of 684, 986, 18, 696 Calculator

Given Input numbers are 684, 986, 18, 696

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 684, 986, 18, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 986, 18, 696 is 2.

Therefore, GCD of numbers 684, 986, 18, 696 is 2

Given Input Data is 684, 986, 18, 696

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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(684, 986) = 337212

GCD(684, 986) = ( 684 x 986 ) / 337212

GCD(684, 986) = 674424 / 337212

GCD(684, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

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

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

GCD of 684, 986, 18, 696 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 395, 12, 596
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• GCD of 696, 799, 67, 308

1. What is the GCD of 684, 986, 18, 696?

GCD of 684, 986, 18, 696 is 2

2. Where do I get the detailed procedure to find GCD of 684, 986, 18, 696?

You can find a detailed procedure to find GCD of 684, 986, 18, 696 on our page.

3. How to find GCD of 684, 986, 18, 696 on a calculator?

You can find the GCD of 684, 986, 18, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.