GCD of 522, 388, 37, 162 Calculator

Given Input numbers are 522, 388, 37, 162

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 522, 388, 37, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 388, 37, 162 is 1.

Therefore, GCD of numbers 522, 388, 37, 162 is 1

Given Input Data is 522, 388, 37, 162

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 37 is 37

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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(522, 388) = 101268

GCD(522, 388) = ( 522 x 388 ) / 101268

GCD(522, 388) = 202536 / 101268

GCD(522, 388) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 522, 388, 37, 162 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 796, 14, 656
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• GCD of 869, 371, 83, 199
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• GCD of 781, 808, 65, 577

1. What is the GCD of 522, 388, 37, 162?

GCD of 522, 388, 37, 162 is 1

2. Where do I get the detailed procedure to find GCD of 522, 388, 37, 162?

You can find a detailed procedure to find GCD of 522, 388, 37, 162 on our page.

3. How to find GCD of 522, 388, 37, 162 on a calculator?

You can find the GCD of 522, 388, 37, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.