GCD of 422, 880, 42, 232 Calculator

Given Input numbers are 422, 880, 42, 232

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 422, 880, 42, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 880, 42, 232 is 2.

Therefore, GCD of numbers 422, 880, 42, 232 is 2

Given Input Data is 422, 880, 42, 232

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 232 is 2 x 2 x 2 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(422, 880) = 185680

GCD(422, 880) = ( 422 x 880 ) / 185680

GCD(422, 880) = 371360 / 185680

GCD(422, 880) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 232

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

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

GCD(2, 232) = 464 / 232

GCD(2, 232) = 2

GCD of 422, 880, 42, 232 is 2

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1. What is the GCD of 422, 880, 42, 232?

GCD of 422, 880, 42, 232 is 2

2. Where do I get the detailed procedure to find GCD of 422, 880, 42, 232?

You can find a detailed procedure to find GCD of 422, 880, 42, 232 on our page.

3. How to find GCD of 422, 880, 42, 232 on a calculator?

You can find the GCD of 422, 880, 42, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.