GCD of 399, 660, 466, 457 Calculator

Given Input numbers are 399, 660, 466, 457

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 399, 660, 466, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 660, 466, 457 is 1.

Therefore, GCD of numbers 399, 660, 466, 457 is 1

Given Input Data is 399, 660, 466, 457

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 466 is 2 x 233

Prime Factorization of 457 is 457

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(399, 660) = 87780

GCD(399, 660) = ( 399 x 660 ) / 87780

GCD(399, 660) = 263340 / 87780

GCD(399, 660) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 466

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

LCM(3, 466) = 1398

GCD(3, 466) = ( 3 x 466 ) / 1398

GCD(3, 466) = 1398 / 1398

GCD(3, 466) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 399, 660, 466, 457 is 1

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1. What is the GCD of 399, 660, 466, 457?

GCD of 399, 660, 466, 457 is 1

2. Where do I get the detailed procedure to find GCD of 399, 660, 466, 457?

You can find a detailed procedure to find GCD of 399, 660, 466, 457 on our page.

3. How to find GCD of 399, 660, 466, 457 on a calculator?

You can find the GCD of 399, 660, 466, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.