GCD of 26, 54, 19, 13 Calculator

Given Input numbers are 26, 54, 19, 13

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 54

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

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

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 26, 54, 19, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 54, 19, 13 is 1.

Therefore, GCD of numbers 26, 54, 19, 13 is 1

Given Input Data is 26, 54, 19, 13

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

Prime Factorization of 26 is 2 x 13

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

Prime Factorization of 19 is 19

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(26, 54) = 702

GCD(26, 54) = ( 26 x 54 ) / 702

GCD(26, 54) = 1404 / 702

GCD(26, 54) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 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 26, 54, 19, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 44, 33, 45
• GCD of 15, 27, 11, 20
• GCD of 71, 46, 31, 24
• GCD of 38, 72, 64, 24
• GCD of 70, 24, 60, 69

1. What is the GCD of 26, 54, 19, 13?

GCD of 26, 54, 19, 13 is 1

2. Where do I get the detailed procedure to find GCD of 26, 54, 19, 13?

You can find a detailed procedure to find GCD of 26, 54, 19, 13 on our page.

3. How to find GCD of 26, 54, 19, 13 on a calculator?

You can find the GCD of 26, 54, 19, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.