GCD of 72, 8, 71, 28 Calculator

Given Input numbers are 72, 8, 71, 28

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 8

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

Divisors of 71

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

1, 71

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Greatest Common Divisior

We found the divisors of 72, 8, 71, 28 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 8, 71, 28 is 1.

Therefore, GCD of numbers 72, 8, 71, 28 is 1

Given Input Data is 72, 8, 71, 28

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 8 is 2 x 2 x 2

Prime Factorization of 71 is 71

Prime Factorization of 28 is 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(72, 8) = 72

GCD(72, 8) = ( 72 x 8 ) / 72

GCD(72, 8) = 576 / 72

GCD(72, 8) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 71

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

LCM(8, 71) = 568

GCD(8, 71) = ( 8 x 71 ) / 568

GCD(8, 71) = 568 / 568

GCD(8, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

GCD of 72, 8, 71, 28 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 1, 70, 46
• GCD of 30, 3, 93, 82
• GCD of 13, 6, 47, 94
• GCD of 81, 2, 37, 55
• GCD of 97, 2, 88, 31

1. What is the GCD of 72, 8, 71, 28?

GCD of 72, 8, 71, 28 is 1

2. Where do I get the detailed procedure to find GCD of 72, 8, 71, 28?

You can find a detailed procedure to find GCD of 72, 8, 71, 28 on our page.

3. How to find GCD of 72, 8, 71, 28 on a calculator?

You can find the GCD of 72, 8, 71, 28 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.