GCD of 663, 384, 45, 685 Calculator

Given Input numbers are 663, 384, 45, 685

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 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 663, 384, 45, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 384, 45, 685 is 1.

Therefore, GCD of numbers 663, 384, 45, 685 is 1

Given Input Data is 663, 384, 45, 685

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 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 685 is 5 x 137

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, 384) = 84864

GCD(663, 384) = ( 663 x 384 ) / 84864

GCD(663, 384) = 254592 / 84864

GCD(663, 384) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 45

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

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

GCD(3, 45) = 135 / 45

GCD(3, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 685

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

LCM(3, 685) = 2055

GCD(3, 685) = ( 3 x 685 ) / 2055

GCD(3, 685) = 2055 / 2055

GCD(3, 685) = 1

GCD of 663, 384, 45, 685 is 1

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1. What is the GCD of 663, 384, 45, 685?

GCD of 663, 384, 45, 685 is 1

2. Where do I get the detailed procedure to find GCD of 663, 384, 45, 685?

You can find a detailed procedure to find GCD of 663, 384, 45, 685 on our page.

3. How to find GCD of 663, 384, 45, 685 on a calculator?

You can find the GCD of 663, 384, 45, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.