GCD of 426, 442, 392, 521 Calculator

Given Input numbers are 426, 442, 392, 521

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 426, 442, 392, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 442, 392, 521 is 1.

Therefore, GCD of numbers 426, 442, 392, 521 is 1

Given Input Data is 426, 442, 392, 521

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 521 is 521

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(426, 442) = 94146

GCD(426, 442) = ( 426 x 442 ) / 94146

GCD(426, 442) = 188292 / 94146

GCD(426, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 392

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

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

GCD(2, 392) = 784 / 392

GCD(2, 392) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 521

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

LCM(2, 521) = 1042

GCD(2, 521) = ( 2 x 521 ) / 1042

GCD(2, 521) = 1042 / 1042

GCD(2, 521) = 1

GCD of 426, 442, 392, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 580, 926, 838
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• GCD of 533, 250, 844, 648

1. What is the GCD of 426, 442, 392, 521?

GCD of 426, 442, 392, 521 is 1

2. Where do I get the detailed procedure to find GCD of 426, 442, 392, 521?

You can find a detailed procedure to find GCD of 426, 442, 392, 521 on our page.

3. How to find GCD of 426, 442, 392, 521 on a calculator?

You can find the GCD of 426, 442, 392, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.