GCD of 894, 294, 320, 861 Calculator

Given Input numbers are 894, 294, 320, 861

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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

Greatest Common Divisior

We found the divisors of 894, 294, 320, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 294, 320, 861 is 1.

Therefore, GCD of numbers 894, 294, 320, 861 is 1

Given Input Data is 894, 294, 320, 861

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 294 is 2 x 3 x 7 x 7

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

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(894, 294) = 43806

GCD(894, 294) = ( 894 x 294 ) / 43806

GCD(894, 294) = 262836 / 43806

GCD(894, 294) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 320

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

LCM(6, 320) = 960

GCD(6, 320) = ( 6 x 320 ) / 960

GCD(6, 320) = 1920 / 960

GCD(6, 320) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 861

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

LCM(2, 861) = 1722

GCD(2, 861) = ( 2 x 861 ) / 1722

GCD(2, 861) = 1722 / 1722

GCD(2, 861) = 1

GCD of 894, 294, 320, 861 is 1

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1. What is the GCD of 894, 294, 320, 861?

GCD of 894, 294, 320, 861 is 1

2. Where do I get the detailed procedure to find GCD of 894, 294, 320, 861?

You can find a detailed procedure to find GCD of 894, 294, 320, 861 on our page.

3. How to find GCD of 894, 294, 320, 861 on a calculator?

You can find the GCD of 894, 294, 320, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.