GCD of 32, 26, 71, 13 Calculator

Given Input numbers are 32, 26, 71, 13

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 71

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

1, 71

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 32, 26, 71, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 26, 71, 13 is 1.

Therefore, GCD of numbers 32, 26, 71, 13 is 1

Given Input Data is 32, 26, 71, 13

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 26 is 2 x 13

Prime Factorization of 71 is 71

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(32, 26) = 416

GCD(32, 26) = ( 32 x 26 ) / 416

GCD(32, 26) = 832 / 416

GCD(32, 26) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 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 32, 26, 71, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 27, 35, 66
• GCD of 42, 57, 97, 84
• GCD of 43, 55, 68, 83
• GCD of 74, 20, 17, 78
• GCD of 60, 10, 11, 16

1. What is the GCD of 32, 26, 71, 13?

GCD of 32, 26, 71, 13 is 1

2. Where do I get the detailed procedure to find GCD of 32, 26, 71, 13?

You can find a detailed procedure to find GCD of 32, 26, 71, 13 on our page.

3. How to find GCD of 32, 26, 71, 13 on a calculator?

You can find the GCD of 32, 26, 71, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.