GCD of 17, 59, 14 Calculator

Given Input numbers are 17, 59, 14

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

Divisors of 17

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

1, 17

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 14

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

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 17, 59, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 59, 14 is 1.

Therefore, GCD of numbers 17, 59, 14 is 1

Given Input Data is 17, 59, 14

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

Prime Factorization of 17 is 17

Prime Factorization of 59 is 59

Prime Factorization of 14 is 2 x 7

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(17, 59) = 1003

GCD(17, 59) = ( 17 x 59 ) / 1003

GCD(17, 59) = 1003 / 1003

GCD(17, 59) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 17, 59, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 27, 87
• GCD of 22, 40, 12
• GCD of 61, 84, 80
• GCD of 13, 69, 57
• GCD of 30, 22, 99

1. What is the GCD of 17, 59, 14?

GCD of 17, 59, 14 is 1

2. Where do I get the detailed procedure to find GCD of 17, 59, 14?

You can find a detailed procedure to find GCD of 17, 59, 14 on our page.

3. How to find GCD of 17, 59, 14 on a calculator?

You can find the GCD of 17, 59, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.