GCD of 31, 54, 71, 14 Calculator

Given Input numbers are 31, 54, 71, 14

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

Divisors of 31

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

1, 31

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 14

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

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 31, 54, 71, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 54, 71, 14 is 1.

Therefore, GCD of numbers 31, 54, 71, 14 is 1

Given Input Data is 31, 54, 71, 14

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

Prime Factorization of 31 is 31

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 71 is 71

Prime Factorization of 14 is 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(31, 54) = 1674

GCD(31, 54) = ( 31 x 54 ) / 1674

GCD(31, 54) = 1674 / 1674

GCD(31, 54) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 31, 54, 71, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 96, 67, 94
• GCD of 63, 51, 40, 59
• GCD of 30, 46, 20, 58
• GCD of 60, 17, 46, 19
• GCD of 70, 51, 16, 33

1. What is the GCD of 31, 54, 71, 14?

GCD of 31, 54, 71, 14 is 1

2. Where do I get the detailed procedure to find GCD of 31, 54, 71, 14?

You can find a detailed procedure to find GCD of 31, 54, 71, 14 on our page.

3. How to find GCD of 31, 54, 71, 14 on a calculator?

You can find the GCD of 31, 54, 71, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.