GCD of 14, 32, 86, 89 Calculator

Given Input numbers are 14, 32, 86, 89

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 86

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

1, 2, 43, 86

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 14, 32, 86, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 32, 86, 89 is 1.

Therefore, GCD of numbers 14, 32, 86, 89 is 1

Given Input Data is 14, 32, 86, 89

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 86 is 2 x 43

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(14, 32) = 224

GCD(14, 32) = ( 14 x 32 ) / 224

GCD(14, 32) = 448 / 224

GCD(14, 32) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 86

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

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

GCD(2, 86) = 172 / 86

GCD(2, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

GCD of 14, 32, 86, 89 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 28, 88, 20
• GCD of 81, 99, 13, 47
• GCD of 24, 14, 15, 66
• GCD of 17, 14, 21, 93
• GCD of 69, 76, 40, 44

1. What is the GCD of 14, 32, 86, 89?

GCD of 14, 32, 86, 89 is 1

2. Where do I get the detailed procedure to find GCD of 14, 32, 86, 89?

You can find a detailed procedure to find GCD of 14, 32, 86, 89 on our page.

3. How to find GCD of 14, 32, 86, 89 on a calculator?

You can find the GCD of 14, 32, 86, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.