GCD of 31, 84, 42, 86 Calculator

Given Input numbers are 31, 84, 42, 86

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 86

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

1, 2, 43, 86

Greatest Common Divisior

We found the divisors of 31, 84, 42, 86 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 84, 42, 86 is 1.

Therefore, GCD of numbers 31, 84, 42, 86 is 1

Given Input Data is 31, 84, 42, 86

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

Prime Factorization of 31 is 31

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 86 is 2 x 43

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(31, 84) = 2604

GCD(31, 84) = ( 31 x 84 ) / 2604

GCD(31, 84) = 2604 / 2604

GCD(31, 84) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

GCD of 31, 84, 42, 86 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 34, 24, 74
• GCD of 23, 82, 45, 47
• GCD of 58, 87, 60, 13
• GCD of 84, 40, 47, 94
• GCD of 61, 14, 70, 42

1. What is the GCD of 31, 84, 42, 86?

GCD of 31, 84, 42, 86 is 1

2. Where do I get the detailed procedure to find GCD of 31, 84, 42, 86?

You can find a detailed procedure to find GCD of 31, 84, 42, 86 on our page.

3. How to find GCD of 31, 84, 42, 86 on a calculator?

You can find the GCD of 31, 84, 42, 86 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.