GCD of 353, 230, 717, 112 Calculator

Given Input numbers are 353, 230, 717, 112

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

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

Greatest Common Divisior

We found the divisors of 353, 230, 717, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 230, 717, 112 is 1.

Therefore, GCD of numbers 353, 230, 717, 112 is 1

Given Input Data is 353, 230, 717, 112

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

Prime Factorization of 353 is 353

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 717 is 3 x 239

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

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(353, 230) = 81190

GCD(353, 230) = ( 353 x 230 ) / 81190

GCD(353, 230) = 81190 / 81190

GCD(353, 230) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 353, 230, 717, 112 is 1

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1. What is the GCD of 353, 230, 717, 112?

GCD of 353, 230, 717, 112 is 1

2. Where do I get the detailed procedure to find GCD of 353, 230, 717, 112?

You can find a detailed procedure to find GCD of 353, 230, 717, 112 on our page.

3. How to find GCD of 353, 230, 717, 112 on a calculator?

You can find the GCD of 353, 230, 717, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.