GCD of 13, 194, 311, 874 Calculator

Given Input numbers are 13, 194, 311, 874

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 194

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

1, 2, 97, 194

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 13, 194, 311, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 194, 311, 874 is 1.

Therefore, GCD of numbers 13, 194, 311, 874 is 1

Given Input Data is 13, 194, 311, 874

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

Prime Factorization of 13 is 13

Prime Factorization of 194 is 2 x 97

Prime Factorization of 311 is 311

Prime Factorization of 874 is 2 x 19 x 23

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(13, 194) = 2522

GCD(13, 194) = ( 13 x 194 ) / 2522

GCD(13, 194) = 2522 / 2522

GCD(13, 194) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 13, 194, 311, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 243, 478, 157
• GCD of 84, 886, 818, 633
• GCD of 25, 551, 399, 597
• GCD of 91, 786, 623, 801
• GCD of 20, 483, 999, 622

1. What is the GCD of 13, 194, 311, 874?

GCD of 13, 194, 311, 874 is 1

2. Where do I get the detailed procedure to find GCD of 13, 194, 311, 874?

You can find a detailed procedure to find GCD of 13, 194, 311, 874 on our page.

3. How to find GCD of 13, 194, 311, 874 on a calculator?

You can find the GCD of 13, 194, 311, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.