GCD of 42, 390, 407, 414 Calculator

Given Input numbers are 42, 390, 407, 414

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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 407

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

1, 11, 37, 407

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 42, 390, 407, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 390, 407, 414 is 1.

Therefore, GCD of numbers 42, 390, 407, 414 is 1

Given Input Data is 42, 390, 407, 414

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

Prime Factorization of 42 is 2 x 3 x 7

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(42, 390) = 2730

GCD(42, 390) = ( 42 x 390 ) / 2730

GCD(42, 390) = 16380 / 2730

GCD(42, 390) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 407

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

LCM(6, 407) = 2442

GCD(6, 407) = ( 6 x 407 ) / 2442

GCD(6, 407) = 2442 / 2442

GCD(6, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 42, 390, 407, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 888, 294, 358
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• GCD of 74, 608, 980, 118
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• GCD of 90, 658, 296, 388

1. What is the GCD of 42, 390, 407, 414?

GCD of 42, 390, 407, 414 is 1

2. Where do I get the detailed procedure to find GCD of 42, 390, 407, 414?

You can find a detailed procedure to find GCD of 42, 390, 407, 414 on our page.

3. How to find GCD of 42, 390, 407, 414 on a calculator?

You can find the GCD of 42, 390, 407, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.