GCD of 13, 14, 31 Calculator

Given Input numbers are 13, 14, 31

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 13, 14, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 14, 31 is 1.

Therefore, GCD of numbers 13, 14, 31 is 1

Given Input Data is 13, 14, 31

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

Prime Factorization of 13 is 13

Prime Factorization of 14 is 2 x 7

Prime Factorization of 31 is 31

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, 14) = 182

GCD(13, 14) = ( 13 x 14 ) / 182

GCD(13, 14) = 182 / 182

GCD(13, 14) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 13, 14, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 51, 53
• GCD of 80, 94, 76
• GCD of 39, 63, 68
• GCD of 11, 10, 32
• GCD of 16, 63, 32

1. What is the GCD of 13, 14, 31?

GCD of 13, 14, 31 is 1

2. Where do I get the detailed procedure to find GCD of 13, 14, 31?

You can find a detailed procedure to find GCD of 13, 14, 31 on our page.

3. How to find GCD of 13, 14, 31 on a calculator?

You can find the GCD of 13, 14, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.