GCD of 663, 407, 65, 398 Calculator

Given Input numbers are 663, 407, 65, 398

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 663, 407, 65, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 407, 65, 398 is 1.

Therefore, GCD of numbers 663, 407, 65, 398 is 1

Given Input Data is 663, 407, 65, 398

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 407 is 11 x 37

Prime Factorization of 65 is 5 x 13

Prime Factorization of 398 is 2 x 199

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, 407) = 269841

GCD(663, 407) = ( 663 x 407 ) / 269841

GCD(663, 407) = 269841 / 269841

GCD(663, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 663, 407, 65, 398 is 1

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• GCD of 106, 497, 39, 368
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1. What is the GCD of 663, 407, 65, 398?

GCD of 663, 407, 65, 398 is 1

2. Where do I get the detailed procedure to find GCD of 663, 407, 65, 398?

You can find a detailed procedure to find GCD of 663, 407, 65, 398 on our page.

3. How to find GCD of 663, 407, 65, 398 on a calculator?

You can find the GCD of 663, 407, 65, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.