GCD of 317, 674, 994, 194 Calculator

Given Input numbers are 317, 674, 994, 194

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 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 317, 674, 994, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 674, 994, 194 is 1.

Therefore, GCD of numbers 317, 674, 994, 194 is 1

Given Input Data is 317, 674, 994, 194

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

Prime Factorization of 317 is 317

Prime Factorization of 674 is 2 x 337

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 194 is 2 x 97

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, 674) = 213658

GCD(317, 674) = ( 317 x 674 ) / 213658

GCD(317, 674) = 213658 / 213658

GCD(317, 674) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 194

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

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

GCD(1, 194) = 194 / 194

GCD(1, 194) = 1

GCD of 317, 674, 994, 194 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 590, 815, 907
• GCD of 894, 357, 888, 681
• GCD of 421, 499, 911, 990
• GCD of 869, 393, 221, 349
• GCD of 963, 963, 515, 418

1. What is the GCD of 317, 674, 994, 194?

GCD of 317, 674, 994, 194 is 1

2. Where do I get the detailed procedure to find GCD of 317, 674, 994, 194?

You can find a detailed procedure to find GCD of 317, 674, 994, 194 on our page.

3. How to find GCD of 317, 674, 994, 194 on a calculator?

You can find the GCD of 317, 674, 994, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.