GCD of 18, 810, 868, 386 Calculator

Given Input numbers are 18, 810, 868, 386

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 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Greatest Common Divisior

We found the divisors of 18, 810, 868, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 810, 868, 386 is 2.

Therefore, GCD of numbers 18, 810, 868, 386 is 2

Given Input Data is 18, 810, 868, 386

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 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 386 is 2 x 193

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, 810) = 810

GCD(18, 810) = ( 18 x 810 ) / 810

GCD(18, 810) = 14580 / 810

GCD(18, 810) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 868

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

LCM(18, 868) = 7812

GCD(18, 868) = ( 18 x 868 ) / 7812

GCD(18, 868) = 15624 / 7812

GCD(18, 868) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 386

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

LCM(2, 386) = 386

GCD(2, 386) = ( 2 x 386 ) / 386

GCD(2, 386) = 772 / 386

GCD(2, 386) = 2

GCD of 18, 810, 868, 386 is 2

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1. What is the GCD of 18, 810, 868, 386?

GCD of 18, 810, 868, 386 is 2

2. Where do I get the detailed procedure to find GCD of 18, 810, 868, 386?

You can find a detailed procedure to find GCD of 18, 810, 868, 386 on our page.

3. How to find GCD of 18, 810, 868, 386 on a calculator?

You can find the GCD of 18, 810, 868, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.