GCD of 78, 30, 13, 71 Calculator

Given Input numbers are 78, 30, 13, 71

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

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 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 13

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

1, 13

Divisors of 71

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

1, 71

Greatest Common Divisior

We found the divisors of 78, 30, 13, 71 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 30, 13, 71 is 1.

Therefore, GCD of numbers 78, 30, 13, 71 is 1

Given Input Data is 78, 30, 13, 71

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 13 is 13

Prime Factorization of 71 is 71

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(78, 30) = 390

GCD(78, 30) = ( 78 x 30 ) / 390

GCD(78, 30) = 2340 / 390

GCD(78, 30) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 13

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

LCM(6, 13) = 78

GCD(6, 13) = ( 6 x 13 ) / 78

GCD(6, 13) = 78 / 78

GCD(6, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

GCD of 78, 30, 13, 71 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 16, 93, 55
• GCD of 25, 19, 18, 64
• GCD of 50, 35, 91, 46
• GCD of 24, 67, 87, 82
• GCD of 77, 24, 90, 25

1. What is the GCD of 78, 30, 13, 71?

GCD of 78, 30, 13, 71 is 1

2. Where do I get the detailed procedure to find GCD of 78, 30, 13, 71?

You can find a detailed procedure to find GCD of 78, 30, 13, 71 on our page.

3. How to find GCD of 78, 30, 13, 71 on a calculator?

You can find the GCD of 78, 30, 13, 71 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.