GCD of 422, 590, 33, 378 Calculator

Given Input numbers are 422, 590, 33, 378

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 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 422, 590, 33, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 590, 33, 378 is 1.

Therefore, GCD of numbers 422, 590, 33, 378 is 1

Given Input Data is 422, 590, 33, 378

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 33 is 3 x 11

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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(422, 590) = 124490

GCD(422, 590) = ( 422 x 590 ) / 124490

GCD(422, 590) = 248980 / 124490

GCD(422, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 422, 590, 33, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 597, 31, 265
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• GCD of 487, 965, 56, 100

1. What is the GCD of 422, 590, 33, 378?

GCD of 422, 590, 33, 378 is 1

2. Where do I get the detailed procedure to find GCD of 422, 590, 33, 378?

You can find a detailed procedure to find GCD of 422, 590, 33, 378 on our page.

3. How to find GCD of 422, 590, 33, 378 on a calculator?

You can find the GCD of 422, 590, 33, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.