GCD of 407, 390, 14, 466 Calculator

Given Input numbers are 407, 390, 14, 466

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

Divisors of 407

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

1, 11, 37, 407

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 466

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

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 407, 390, 14, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 390, 14, 466 is 1.

Therefore, GCD of numbers 407, 390, 14, 466 is 1

Given Input Data is 407, 390, 14, 466

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 14 is 2 x 7

Prime Factorization of 466 is 2 x 233

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(407, 390) = 158730

GCD(407, 390) = ( 407 x 390 ) / 158730

GCD(407, 390) = 158730 / 158730

GCD(407, 390) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 407, 390, 14, 466 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 303, 14, 183
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• GCD of 728, 761, 41, 392
• GCD of 132, 653, 59, 943
• GCD of 225, 438, 24, 722

1. What is the GCD of 407, 390, 14, 466?

GCD of 407, 390, 14, 466 is 1

2. Where do I get the detailed procedure to find GCD of 407, 390, 14, 466?

You can find a detailed procedure to find GCD of 407, 390, 14, 466 on our page.

3. How to find GCD of 407, 390, 14, 466 on a calculator?

You can find the GCD of 407, 390, 14, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.