GCD of 342, 404, 14, 963 Calculator

Given Input numbers are 342, 404, 14, 963

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 14

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

1, 2, 7, 14

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 342, 404, 14, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 404, 14, 963 is 1.

Therefore, GCD of numbers 342, 404, 14, 963 is 1

Given Input Data is 342, 404, 14, 963

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 14 is 2 x 7

Prime Factorization of 963 is 3 x 3 x 107

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(342, 404) = 69084

GCD(342, 404) = ( 342 x 404 ) / 69084

GCD(342, 404) = 138168 / 69084

GCD(342, 404) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 963

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

LCM(2, 963) = 1926

GCD(2, 963) = ( 2 x 963 ) / 1926

GCD(2, 963) = 1926 / 1926

GCD(2, 963) = 1

GCD of 342, 404, 14, 963 is 1

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1. What is the GCD of 342, 404, 14, 963?

GCD of 342, 404, 14, 963 is 1

2. Where do I get the detailed procedure to find GCD of 342, 404, 14, 963?

You can find a detailed procedure to find GCD of 342, 404, 14, 963 on our page.

3. How to find GCD of 342, 404, 14, 963 on a calculator?

You can find the GCD of 342, 404, 14, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.