GCD of 663, 317, 954, 514 Calculator

Given Input numbers are 663, 317, 954, 514

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

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 663, 317, 954, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 317, 954, 514 is 1.

Therefore, GCD of numbers 663, 317, 954, 514 is 1

Given Input Data is 663, 317, 954, 514

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 317 is 317

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 514 is 2 x 257

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(663, 317) = 210171

GCD(663, 317) = ( 663 x 317 ) / 210171

GCD(663, 317) = 210171 / 210171

GCD(663, 317) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 663, 317, 954, 514 is 1

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1. What is the GCD of 663, 317, 954, 514?

GCD of 663, 317, 954, 514 is 1

2. Where do I get the detailed procedure to find GCD of 663, 317, 954, 514?

You can find a detailed procedure to find GCD of 663, 317, 954, 514 on our page.

3. How to find GCD of 663, 317, 954, 514 on a calculator?

You can find the GCD of 663, 317, 954, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.