GCD of 71, 8, 40, 13 Calculator

Given Input numbers are 71, 8, 40, 13

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 8

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 13

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

1, 13

Greatest Common Divisior

We found the divisors of 71, 8, 40, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 8, 40, 13 is 1.

Therefore, GCD of numbers 71, 8, 40, 13 is 1

Given Input Data is 71, 8, 40, 13

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

Prime Factorization of 71 is 71

Prime Factorization of 8 is 2 x 2 x 2

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 13 is 13

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, 8) = 568

GCD(71, 8) = ( 71 x 8 ) / 568

GCD(71, 8) = 568 / 568

GCD(71, 8) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

GCD of 71, 8, 40, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 4, 76, 74
• GCD of 14, 9, 55, 34
• GCD of 19, 6, 67, 43
• GCD of 79, 4, 41, 75
• GCD of 22, 1, 63, 63

1. What is the GCD of 71, 8, 40, 13?

GCD of 71, 8, 40, 13 is 1

2. Where do I get the detailed procedure to find GCD of 71, 8, 40, 13?

You can find a detailed procedure to find GCD of 71, 8, 40, 13 on our page.

3. How to find GCD of 71, 8, 40, 13 on a calculator?

You can find the GCD of 71, 8, 40, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.