GCD of 80, 5, 13, 56 Calculator

Given Input numbers are 80, 5, 13, 56

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 5

List of positive integer divisors of 5 that divides 5 without a remainder.

1, 5

Divisors of 13

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

1, 13

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Greatest Common Divisior

We found the divisors of 80, 5, 13, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 5, 13, 56 is 1.

Therefore, GCD of numbers 80, 5, 13, 56 is 1

Given Input Data is 80, 5, 13, 56

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 5 is 5

Prime Factorization of 13 is 13

Prime Factorization of 56 is 2 x 2 x 2 x 7

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(80, 5) = 80

GCD(80, 5) = ( 80 x 5 ) / 80

GCD(80, 5) = 400 / 80

GCD(80, 5) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 13

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

LCM(5, 13) = 65

GCD(5, 13) = ( 5 x 13 ) / 65

GCD(5, 13) = 65 / 65

GCD(5, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

GCD of 80, 5, 13, 56 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 3, 73, 39
• GCD of 27, 4, 63, 74
• GCD of 29, 8, 82, 83
• GCD of 53, 3, 18, 34
• GCD of 16, 7, 20, 93

1. What is the GCD of 80, 5, 13, 56?

GCD of 80, 5, 13, 56 is 1

2. Where do I get the detailed procedure to find GCD of 80, 5, 13, 56?

You can find a detailed procedure to find GCD of 80, 5, 13, 56 on our page.

3. How to find GCD of 80, 5, 13, 56 on a calculator?

You can find the GCD of 80, 5, 13, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.