GCD of 636, 338, 72, 663 Calculator

Given Input numbers are 636, 338, 72, 663

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 663

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

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

Greatest Common Divisior

We found the divisors of 636, 338, 72, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 338, 72, 663 is 1.

Therefore, GCD of numbers 636, 338, 72, 663 is 1

Given Input Data is 636, 338, 72, 663

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 663 is 3 x 13 x 17

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(636, 338) = 107484

GCD(636, 338) = ( 636 x 338 ) / 107484

GCD(636, 338) = 214968 / 107484

GCD(636, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 663

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

LCM(2, 663) = 1326

GCD(2, 663) = ( 2 x 663 ) / 1326

GCD(2, 663) = 1326 / 1326

GCD(2, 663) = 1

GCD of 636, 338, 72, 663 is 1

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• GCD of 345, 170, 90, 123
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1. What is the GCD of 636, 338, 72, 663?

GCD of 636, 338, 72, 663 is 1

2. Where do I get the detailed procedure to find GCD of 636, 338, 72, 663?

You can find a detailed procedure to find GCD of 636, 338, 72, 663 on our page.

3. How to find GCD of 636, 338, 72, 663 on a calculator?

You can find the GCD of 636, 338, 72, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.