GCD of 29, 86, 13, 31 Calculator

Given Input numbers are 29, 86, 13, 31

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 86

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

1, 2, 43, 86

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

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 29, 86, 13, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 86, 13, 31 is 1.

Therefore, GCD of numbers 29, 86, 13, 31 is 1

Given Input Data is 29, 86, 13, 31

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

Prime Factorization of 29 is 29

Prime Factorization of 86 is 2 x 43

Prime Factorization of 13 is 13

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(29, 86) = 2494

GCD(29, 86) = ( 29 x 86 ) / 2494

GCD(29, 86) = 2494 / 2494

GCD(29, 86) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 29, 86, 13, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 21, 97, 25
• GCD of 53, 28, 15, 88
• GCD of 40, 92, 52, 53
• GCD of 30, 84, 14, 74
• GCD of 12, 95, 43, 56

1. What is the GCD of 29, 86, 13, 31?

GCD of 29, 86, 13, 31 is 1

2. Where do I get the detailed procedure to find GCD of 29, 86, 13, 31?

You can find a detailed procedure to find GCD of 29, 86, 13, 31 on our page.

3. How to find GCD of 29, 86, 13, 31 on a calculator?

You can find the GCD of 29, 86, 13, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.