GCD of 112, 585, 358 Calculator

Given Input numbers are 112, 585, 358

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 112, 585, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 585, 358 is 1.

Therefore, GCD of numbers 112, 585, 358 is 1

Given Input Data is 112, 585, 358

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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

Prime Factorization of 358 is 2 x 179

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(112, 585) = 65520

GCD(112, 585) = ( 112 x 585 ) / 65520

GCD(112, 585) = 65520 / 65520

GCD(112, 585) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 112, 585, 358 is 1

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1. What is the GCD of 112, 585, 358?

GCD of 112, 585, 358 is 1

2. Where do I get the detailed procedure to find GCD of 112, 585, 358?

You can find a detailed procedure to find GCD of 112, 585, 358 on our page.

3. How to find GCD of 112, 585, 358 on a calculator?

You can find the GCD of 112, 585, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.