GCD of 13, 22, 17, 89 Calculator

Given Input numbers are 13, 22, 17, 89

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 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Greatest Common Divisior

We found the divisors of 13, 22, 17, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 22, 17, 89 is 1.

Therefore, GCD of numbers 13, 22, 17, 89 is 1

Given Input Data is 13, 22, 17, 89

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

Prime Factorization of 13 is 13

Prime Factorization of 22 is 2 x 11

Prime Factorization of 17 is 17

Prime Factorization of 89 is 89

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, 22) = 286

GCD(13, 22) = ( 13 x 22 ) / 286

GCD(13, 22) = 286 / 286

GCD(13, 22) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

GCD of 13, 22, 17, 89 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 39, 10, 92
• GCD of 60, 59, 75, 56
• GCD of 83, 23, 55, 56
• GCD of 68, 81, 88, 81
• GCD of 10, 29, 73, 40

1. What is the GCD of 13, 22, 17, 89?

GCD of 13, 22, 17, 89 is 1

2. Where do I get the detailed procedure to find GCD of 13, 22, 17, 89?

You can find a detailed procedure to find GCD of 13, 22, 17, 89 on our page.

3. How to find GCD of 13, 22, 17, 89 on a calculator?

You can find the GCD of 13, 22, 17, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.