GCD of 320, 585, 238, 885 Calculator

Given Input numbers are 320, 585, 238, 885

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 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Greatest Common Divisior

We found the divisors of 320, 585, 238, 885 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 585, 238, 885 is 1.

Therefore, GCD of numbers 320, 585, 238, 885 is 1

Given Input Data is 320, 585, 238, 885

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 585 is 3 x 3 x 5 x 13

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 885 is 3 x 5 x 59

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, 585) = 37440

GCD(320, 585) = ( 320 x 585 ) / 37440

GCD(320, 585) = 187200 / 37440

GCD(320, 585) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 238

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

LCM(5, 238) = 1190

GCD(5, 238) = ( 5 x 238 ) / 1190

GCD(5, 238) = 1190 / 1190

GCD(5, 238) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 885

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

LCM(1, 885) = 885

GCD(1, 885) = ( 1 x 885 ) / 885

GCD(1, 885) = 885 / 885

GCD(1, 885) = 1

GCD of 320, 585, 238, 885 is 1

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1. What is the GCD of 320, 585, 238, 885?

GCD of 320, 585, 238, 885 is 1

2. Where do I get the detailed procedure to find GCD of 320, 585, 238, 885?

You can find a detailed procedure to find GCD of 320, 585, 238, 885 on our page.

3. How to find GCD of 320, 585, 238, 885 on a calculator?

You can find the GCD of 320, 585, 238, 885 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.