GCD of 86, 36, 31 Calculator

Given Input numbers are 86, 36, 31

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 31

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

1, 31

Greatest Common Divisior

We found the divisors of 86, 36, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 36, 31 is 1.

Therefore, GCD of numbers 86, 36, 31 is 1

Given Input Data is 86, 36, 31

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 31 is 31

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, 36) = 1548

GCD(86, 36) = ( 86 x 36 ) / 1548

GCD(86, 36) = 3096 / 1548

GCD(86, 36) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

GCD of 86, 36, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 76, 57
• GCD of 75, 23, 88
• GCD of 31, 15, 39
• GCD of 68, 58, 76
• GCD of 37, 47, 94

1. What is the GCD of 86, 36, 31?

GCD of 86, 36, 31 is 1

2. Where do I get the detailed procedure to find GCD of 86, 36, 31?

You can find a detailed procedure to find GCD of 86, 36, 31 on our page.

3. How to find GCD of 86, 36, 31 on a calculator?

You can find the GCD of 86, 36, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.