GCD of 240, 394, 38, 855 Calculator

Given Input numbers are 240, 394, 38, 855

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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 240, 394, 38, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 394, 38, 855 is 1.

Therefore, GCD of numbers 240, 394, 38, 855 is 1

Given Input Data is 240, 394, 38, 855

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 394 is 2 x 197

Prime Factorization of 38 is 2 x 19

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(240, 394) = 47280

GCD(240, 394) = ( 240 x 394 ) / 47280

GCD(240, 394) = 94560 / 47280

GCD(240, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 855

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

LCM(2, 855) = 1710

GCD(2, 855) = ( 2 x 855 ) / 1710

GCD(2, 855) = 1710 / 1710

GCD(2, 855) = 1

GCD of 240, 394, 38, 855 is 1

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1. What is the GCD of 240, 394, 38, 855?

GCD of 240, 394, 38, 855 is 1

2. Where do I get the detailed procedure to find GCD of 240, 394, 38, 855?

You can find a detailed procedure to find GCD of 240, 394, 38, 855 on our page.

3. How to find GCD of 240, 394, 38, 855 on a calculator?

You can find the GCD of 240, 394, 38, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.