GCD of 424, 476, 11, 414 Calculator

Given Input numbers are 424, 476, 11, 414

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

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 424, 476, 11, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 476, 11, 414 is 1.

Therefore, GCD of numbers 424, 476, 11, 414 is 1

Given Input Data is 424, 476, 11, 414

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 11 is 11

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(424, 476) = 50456

GCD(424, 476) = ( 424 x 476 ) / 50456

GCD(424, 476) = 201824 / 50456

GCD(424, 476) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 11

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

LCM(4, 11) = 44

GCD(4, 11) = ( 4 x 11 ) / 44

GCD(4, 11) = 44 / 44

GCD(4, 11) = 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 424, 476, 11, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 503, 97, 973
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• GCD of 695, 654, 73, 726

1. What is the GCD of 424, 476, 11, 414?

GCD of 424, 476, 11, 414 is 1

2. Where do I get the detailed procedure to find GCD of 424, 476, 11, 414?

You can find a detailed procedure to find GCD of 424, 476, 11, 414 on our page.

3. How to find GCD of 424, 476, 11, 414 on a calculator?

You can find the GCD of 424, 476, 11, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.