GCD of 72, 18, 86, 82 Calculator

Given Input numbers are 72, 18, 86, 82

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 18

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

1, 2, 3, 6, 9, 18

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Greatest Common Divisior

We found the divisors of 72, 18, 86, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 18, 86, 82 is 2.

Therefore, GCD of numbers 72, 18, 86, 82 is 2

Given Input Data is 72, 18, 86, 82

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 18 is 2 x 3 x 3

Prime Factorization of 86 is 2 x 43

Prime Factorization of 82 is 2 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 18) = 72

GCD(72, 18) = ( 72 x 18 ) / 72

GCD(72, 18) = 1296 / 72

GCD(72, 18) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 86

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

LCM(18, 86) = 774

GCD(18, 86) = ( 18 x 86 ) / 774

GCD(18, 86) = 1548 / 774

GCD(18, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

GCD of 72, 18, 86, 82 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 69, 13, 26
• GCD of 30, 23, 16, 68
• GCD of 40, 23, 77, 32
• GCD of 88, 88, 16, 90
• GCD of 58, 19, 55, 70

1. What is the GCD of 72, 18, 86, 82?

GCD of 72, 18, 86, 82 is 2

2. Where do I get the detailed procedure to find GCD of 72, 18, 86, 82?

You can find a detailed procedure to find GCD of 72, 18, 86, 82 on our page.

3. How to find GCD of 72, 18, 86, 82 on a calculator?

You can find the GCD of 72, 18, 86, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.