GCD of 14, 328, 958, 849 Calculator

Given Input numbers are 14, 328, 958, 849

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 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 14, 328, 958, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 328, 958, 849 is 1.

Therefore, GCD of numbers 14, 328, 958, 849 is 1

Given Input Data is 14, 328, 958, 849

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 958 is 2 x 479

Prime Factorization of 849 is 3 x 283

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, 328) = 2296

GCD(14, 328) = ( 14 x 328 ) / 2296

GCD(14, 328) = 4592 / 2296

GCD(14, 328) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 958

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

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

GCD(2, 958) = 1916 / 958

GCD(2, 958) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 849

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

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

GCD(2, 849) = 1698 / 1698

GCD(2, 849) = 1

GCD of 14, 328, 958, 849 is 1

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1. What is the GCD of 14, 328, 958, 849?

GCD of 14, 328, 958, 849 is 1

2. Where do I get the detailed procedure to find GCD of 14, 328, 958, 849?

You can find a detailed procedure to find GCD of 14, 328, 958, 849 on our page.

3. How to find GCD of 14, 328, 958, 849 on a calculator?

You can find the GCD of 14, 328, 958, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.