GCD of 71, 48, 15, 78 Calculator

Given Input numbers are 71, 48, 15, 78

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

Divisors of 71

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

1, 71

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 78

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

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

Greatest Common Divisior

We found the divisors of 71, 48, 15, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 48, 15, 78 is 1.

Therefore, GCD of numbers 71, 48, 15, 78 is 1

Given Input Data is 71, 48, 15, 78

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

Prime Factorization of 71 is 71

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 15 is 3 x 5

Prime Factorization of 78 is 2 x 3 x 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(71, 48) = 3408

GCD(71, 48) = ( 71 x 48 ) / 3408

GCD(71, 48) = 3408 / 3408

GCD(71, 48) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

GCD of 71, 48, 15, 78 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 50, 31, 51
• GCD of 86, 87, 44, 51
• GCD of 52, 29, 30, 97
• GCD of 58, 28, 67, 20
• GCD of 25, 19, 44, 81

1. What is the GCD of 71, 48, 15, 78?

GCD of 71, 48, 15, 78 is 1

2. Where do I get the detailed procedure to find GCD of 71, 48, 15, 78?

You can find a detailed procedure to find GCD of 71, 48, 15, 78 on our page.

3. How to find GCD of 71, 48, 15, 78 on a calculator?

You can find the GCD of 71, 48, 15, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.