GCD of 317, 170, 196, 112 Calculator

Given Input numbers are 317, 170, 196, 112

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

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 317, 170, 196, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 170, 196, 112 is 1.

Therefore, GCD of numbers 317, 170, 196, 112 is 1

Given Input Data is 317, 170, 196, 112

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

Prime Factorization of 317 is 317

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 196 is 2 x 2 x 7 x 7

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(317, 170) = 53890

GCD(317, 170) = ( 317 x 170 ) / 53890

GCD(317, 170) = 53890 / 53890

GCD(317, 170) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 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 317, 170, 196, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 143, 271, 632
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• GCD of 623, 270, 386, 617

1. What is the GCD of 317, 170, 196, 112?

GCD of 317, 170, 196, 112 is 1

2. Where do I get the detailed procedure to find GCD of 317, 170, 196, 112?

You can find a detailed procedure to find GCD of 317, 170, 196, 112 on our page.

3. How to find GCD of 317, 170, 196, 112 on a calculator?

You can find the GCD of 317, 170, 196, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.