GCD of 26, 40, 13, 82 Calculator

Given Input numbers are 26, 40, 13, 82

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

Divisors of 26

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

1, 2, 13, 26

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Greatest Common Divisior

We found the divisors of 26, 40, 13, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 40, 13, 82 is 1.

Therefore, GCD of numbers 26, 40, 13, 82 is 1

Given Input Data is 26, 40, 13, 82

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

Prime Factorization of 26 is 2 x 13

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

Prime Factorization of 13 is 13

Prime Factorization of 82 is 2 x 41

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(26, 40) = 520

GCD(26, 40) = ( 26 x 40 ) / 520

GCD(26, 40) = 1040 / 520

GCD(26, 40) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

GCD of 26, 40, 13, 82 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 31, 75, 86
• GCD of 61, 34, 28, 60
• GCD of 85, 29, 15, 67
• GCD of 66, 72, 20, 10
• GCD of 86, 64, 59, 61

1. What is the GCD of 26, 40, 13, 82?

GCD of 26, 40, 13, 82 is 1

2. Where do I get the detailed procedure to find GCD of 26, 40, 13, 82?

You can find a detailed procedure to find GCD of 26, 40, 13, 82 on our page.

3. How to find GCD of 26, 40, 13, 82 on a calculator?

You can find the GCD of 26, 40, 13, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.