GCD of 72, 71, 87, 18 Calculator

Given Input numbers are 72, 71, 87, 18

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 71

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

1, 71

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Greatest Common Divisior

We found the divisors of 72, 71, 87, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 71, 87, 18 is 1.

Therefore, GCD of numbers 72, 71, 87, 18 is 1

Given Input Data is 72, 71, 87, 18

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 71 is 71

Prime Factorization of 87 is 3 x 29

Prime Factorization of 18 is 2 x 3 x 3

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, 71) = 5112

GCD(72, 71) = ( 72 x 71 ) / 5112

GCD(72, 71) = 5112 / 5112

GCD(72, 71) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

GCD of 72, 71, 87, 18 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 56, 25, 81
• GCD of 67, 18, 10, 18
• GCD of 32, 38, 53, 57
• GCD of 66, 76, 38, 59
• GCD of 38, 53, 84, 36

1. What is the GCD of 72, 71, 87, 18?

GCD of 72, 71, 87, 18 is 1

2. Where do I get the detailed procedure to find GCD of 72, 71, 87, 18?

You can find a detailed procedure to find GCD of 72, 71, 87, 18 on our page.

3. How to find GCD of 72, 71, 87, 18 on a calculator?

You can find the GCD of 72, 71, 87, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.