GCD of 294, 105, 320, 855 Calculator

Given Input numbers are 294, 105, 320, 855

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

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

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 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 294, 105, 320, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 105, 320, 855 is 1.

Therefore, GCD of numbers 294, 105, 320, 855 is 1

Given Input Data is 294, 105, 320, 855

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

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

Prime Factorization of 105 is 3 x 5 x 7

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

Prime Factorization of 855 is 3 x 3 x 5 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(294, 105) = 1470

GCD(294, 105) = ( 294 x 105 ) / 1470

GCD(294, 105) = 30870 / 1470

GCD(294, 105) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 320

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

LCM(21, 320) = 6720

GCD(21, 320) = ( 21 x 320 ) / 6720

GCD(21, 320) = 6720 / 6720

GCD(21, 320) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

GCD of 294, 105, 320, 855 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 361, 189, 438
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• GCD of 292, 828, 341, 111

1. What is the GCD of 294, 105, 320, 855?

GCD of 294, 105, 320, 855 is 1

2. Where do I get the detailed procedure to find GCD of 294, 105, 320, 855?

You can find a detailed procedure to find GCD of 294, 105, 320, 855 on our page.

3. How to find GCD of 294, 105, 320, 855 on a calculator?

You can find the GCD of 294, 105, 320, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.