GCD of 14, 858, 179, 289 Calculator

Given Input numbers are 14, 858, 179, 289

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 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 14, 858, 179, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 858, 179, 289 is 1.

Therefore, GCD of numbers 14, 858, 179, 289 is 1

Given Input Data is 14, 858, 179, 289

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 179 is 179

Prime Factorization of 289 is 17 x 17

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, 858) = 6006

GCD(14, 858) = ( 14 x 858 ) / 6006

GCD(14, 858) = 12012 / 6006

GCD(14, 858) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 179

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

LCM(2, 179) = 358

GCD(2, 179) = ( 2 x 179 ) / 358

GCD(2, 179) = 358 / 358

GCD(2, 179) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 14, 858, 179, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 348, 684, 734
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• GCD of 82, 704, 587, 758

1. What is the GCD of 14, 858, 179, 289?

GCD of 14, 858, 179, 289 is 1

2. Where do I get the detailed procedure to find GCD of 14, 858, 179, 289?

You can find a detailed procedure to find GCD of 14, 858, 179, 289 on our page.

3. How to find GCD of 14, 858, 179, 289 on a calculator?

You can find the GCD of 14, 858, 179, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.