GCD of 86, 82, 83, 12 Calculator

Given Input numbers are 86, 82, 83, 12

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

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Greatest Common Divisior

We found the divisors of 86, 82, 83, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 82, 83, 12 is 1.

Therefore, GCD of numbers 86, 82, 83, 12 is 1

Given Input Data is 86, 82, 83, 12

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 82 is 2 x 41

Prime Factorization of 83 is 83

Prime Factorization of 12 is 2 x 2 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(86, 82) = 3526

GCD(86, 82) = ( 86 x 82 ) / 3526

GCD(86, 82) = 7052 / 3526

GCD(86, 82) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

GCD of 86, 82, 83, 12 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 22, 70, 78
• GCD of 56, 28, 91, 85
• GCD of 48, 84, 17, 31
• GCD of 12, 89, 78, 77
• GCD of 94, 64, 11, 34

1. What is the GCD of 86, 82, 83, 12?

GCD of 86, 82, 83, 12 is 1

2. Where do I get the detailed procedure to find GCD of 86, 82, 83, 12?

You can find a detailed procedure to find GCD of 86, 82, 83, 12 on our page.

3. How to find GCD of 86, 82, 83, 12 on a calculator?

You can find the GCD of 86, 82, 83, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.