GCD of 442, 424, 920, 427 Calculator

Given Input numbers are 442, 424, 920, 427

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

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 424

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

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 442, 424, 920, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 424, 920, 427 is 1.

Therefore, GCD of numbers 442, 424, 920, 427 is 1

Given Input Data is 442, 424, 920, 427

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

Prime Factorization of 442 is 2 x 13 x 17

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 427 is 7 x 61

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(442, 424) = 93704

GCD(442, 424) = ( 442 x 424 ) / 93704

GCD(442, 424) = 187408 / 93704

GCD(442, 424) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 920

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

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

GCD(2, 920) = 1840 / 920

GCD(2, 920) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 427

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

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

GCD(2, 427) = 854 / 854

GCD(2, 427) = 1

GCD of 442, 424, 920, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 355, 175, 232
• GCD of 450, 296, 313, 225
• GCD of 100, 249, 314, 185
• GCD of 846, 330, 960, 574
• GCD of 689, 263, 176, 224

1. What is the GCD of 442, 424, 920, 427?

GCD of 442, 424, 920, 427 is 1

2. Where do I get the detailed procedure to find GCD of 442, 424, 920, 427?

You can find a detailed procedure to find GCD of 442, 424, 920, 427 on our page.

3. How to find GCD of 442, 424, 920, 427 on a calculator?

You can find the GCD of 442, 424, 920, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.