GCD of 152, 585, 17, 855 Calculator

Given Input numbers are 152, 585, 17, 855

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

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 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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 152, 585, 17, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 585, 17, 855 is 1.

Therefore, GCD of numbers 152, 585, 17, 855 is 1

Given Input Data is 152, 585, 17, 855

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 17 is 17

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(152, 585) = 88920

GCD(152, 585) = ( 152 x 585 ) / 88920

GCD(152, 585) = 88920 / 88920

GCD(152, 585) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 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 152, 585, 17, 855 is 1

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1. What is the GCD of 152, 585, 17, 855?

GCD of 152, 585, 17, 855 is 1

2. Where do I get the detailed procedure to find GCD of 152, 585, 17, 855?

You can find a detailed procedure to find GCD of 152, 585, 17, 855 on our page.

3. How to find GCD of 152, 585, 17, 855 on a calculator?

You can find the GCD of 152, 585, 17, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.