GCD of 320, 861, 18, 684 Calculator

Given Input numbers are 320, 861, 18, 684

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 18

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

1, 2, 3, 6, 9, 18

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

Greatest Common Divisior

We found the divisors of 320, 861, 18, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 861, 18, 684 is 1.

Therefore, GCD of numbers 320, 861, 18, 684 is 1

Given Input Data is 320, 861, 18, 684

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 18 is 2 x 3 x 3

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

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(320, 861) = 275520

GCD(320, 861) = ( 320 x 861 ) / 275520

GCD(320, 861) = 275520 / 275520

GCD(320, 861) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 320, 861, 18, 684 is 1

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1. What is the GCD of 320, 861, 18, 684?

GCD of 320, 861, 18, 684 is 1

2. Where do I get the detailed procedure to find GCD of 320, 861, 18, 684?

You can find a detailed procedure to find GCD of 320, 861, 18, 684 on our page.

3. How to find GCD of 320, 861, 18, 684 on a calculator?

You can find the GCD of 320, 861, 18, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.