GCD of 13, 90, 68, 86 Calculator

Given Input numbers are 13, 90, 68, 86

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

Divisors of 13

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

1, 13

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

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 13, 90, 68, 86 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 90, 68, 86 is 1.

Therefore, GCD of numbers 13, 90, 68, 86 is 1

Given Input Data is 13, 90, 68, 86

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

Prime Factorization of 13 is 13

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 68 is 2 x 2 x 17

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(13, 90) = 1170

GCD(13, 90) = ( 13 x 90 ) / 1170

GCD(13, 90) = 1170 / 1170

GCD(13, 90) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 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 13, 90, 68, 86 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 86, 32, 77
• GCD of 46, 39, 38, 18
• GCD of 75, 24, 47, 93
• GCD of 67, 47, 53, 76
• GCD of 43, 85, 36, 26

1. What is the GCD of 13, 90, 68, 86?

GCD of 13, 90, 68, 86 is 1

2. Where do I get the detailed procedure to find GCD of 13, 90, 68, 86?

You can find a detailed procedure to find GCD of 13, 90, 68, 86 on our page.

3. How to find GCD of 13, 90, 68, 86 on a calculator?

You can find the GCD of 13, 90, 68, 86 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.