GCD of 71, 39, 31 Calculator

Given Input numbers are 71, 39, 31

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

Divisors of 71

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

1, 71

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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 71, 39, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 39, 31 is 1.

Therefore, GCD of numbers 71, 39, 31 is 1

Given Input Data is 71, 39, 31

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

Prime Factorization of 71 is 71

Prime Factorization of 39 is 3 x 13

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(71, 39) = 2769

GCD(71, 39) = ( 71 x 39 ) / 2769

GCD(71, 39) = 2769 / 2769

GCD(71, 39) = 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 71, 39, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 35, 44
• GCD of 74, 49, 76
• GCD of 89, 85, 89
• GCD of 46, 98, 46
• GCD of 43, 47, 29

1. What is the GCD of 71, 39, 31?

GCD of 71, 39, 31 is 1

2. Where do I get the detailed procedure to find GCD of 71, 39, 31?

You can find a detailed procedure to find GCD of 71, 39, 31 on our page.

3. How to find GCD of 71, 39, 31 on a calculator?

You can find the GCD of 71, 39, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.