GCD of 663, 345, 16, 697 Calculator

Given Input numbers are 663, 345, 16, 697

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 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 663, 345, 16, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 345, 16, 697 is 1.

Therefore, GCD of numbers 663, 345, 16, 697 is 1

Given Input Data is 663, 345, 16, 697

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 345 is 3 x 5 x 23

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 697 is 17 x 41

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, 345) = 76245

GCD(663, 345) = ( 663 x 345 ) / 76245

GCD(663, 345) = 228735 / 76245

GCD(663, 345) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 16

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

LCM(3, 16) = 48

GCD(3, 16) = ( 3 x 16 ) / 48

GCD(3, 16) = 48 / 48

GCD(3, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 663, 345, 16, 697 is 1

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1. What is the GCD of 663, 345, 16, 697?

GCD of 663, 345, 16, 697 is 1

2. Where do I get the detailed procedure to find GCD of 663, 345, 16, 697?

You can find a detailed procedure to find GCD of 663, 345, 16, 697 on our page.

3. How to find GCD of 663, 345, 16, 697 on a calculator?

You can find the GCD of 663, 345, 16, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.