GCD of 13, 78, 54, 75 Calculator

Given Input numbers are 13, 78, 54, 75

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

Divisors of 13

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

1, 13

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Greatest Common Divisior

We found the divisors of 13, 78, 54, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 78, 54, 75 is 1.

Therefore, GCD of numbers 13, 78, 54, 75 is 1

Given Input Data is 13, 78, 54, 75

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

Prime Factorization of 13 is 13

Prime Factorization of 78 is 2 x 3 x 13

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

Prime Factorization of 75 is 3 x 5 x 5

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(13, 78) = 78

GCD(13, 78) = ( 13 x 78 ) / 78

GCD(13, 78) = 1014 / 78

GCD(13, 78) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 54

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

LCM(13, 54) = 702

GCD(13, 54) = ( 13 x 54 ) / 702

GCD(13, 54) = 702 / 702

GCD(13, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

GCD of 13, 78, 54, 75 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 51, 91, 28
• GCD of 86, 37, 25, 93
• GCD of 50, 15, 49, 69
• GCD of 98, 26, 52, 22
• GCD of 19, 73, 87, 70

1. What is the GCD of 13, 78, 54, 75?

GCD of 13, 78, 54, 75 is 1

2. Where do I get the detailed procedure to find GCD of 13, 78, 54, 75?

You can find a detailed procedure to find GCD of 13, 78, 54, 75 on our page.

3. How to find GCD of 13, 78, 54, 75 on a calculator?

You can find the GCD of 13, 78, 54, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.