GCD of 113, 176, 34, 585 Calculator

Given Input numbers are 113, 176, 34, 585

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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

Greatest Common Divisior

We found the divisors of 113, 176, 34, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 176, 34, 585 is 1.

Therefore, GCD of numbers 113, 176, 34, 585 is 1

Given Input Data is 113, 176, 34, 585

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

Prime Factorization of 113 is 113

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 34 is 2 x 17

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

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(113, 176) = 19888

GCD(113, 176) = ( 113 x 176 ) / 19888

GCD(113, 176) = 19888 / 19888

GCD(113, 176) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 113, 176, 34, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 386, 65, 803
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• GCD of 429, 274, 23, 238

1. What is the GCD of 113, 176, 34, 585?

GCD of 113, 176, 34, 585 is 1

2. Where do I get the detailed procedure to find GCD of 113, 176, 34, 585?

You can find a detailed procedure to find GCD of 113, 176, 34, 585 on our page.

3. How to find GCD of 113, 176, 34, 585 on a calculator?

You can find the GCD of 113, 176, 34, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.