GCD of 522, 165, 432, 201 Calculator

Given Input numbers are 522, 165, 432, 201

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 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Greatest Common Divisior

We found the divisors of 522, 165, 432, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 165, 432, 201 is 3.

Therefore, GCD of numbers 522, 165, 432, 201 is 3

Given Input Data is 522, 165, 432, 201

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 165 is 3 x 5 x 11

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 201 is 3 x 67

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 165) = 28710

GCD(522, 165) = ( 522 x 165 ) / 28710

GCD(522, 165) = 86130 / 28710

GCD(522, 165) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 432

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

LCM(3, 432) = 432

GCD(3, 432) = ( 3 x 432 ) / 432

GCD(3, 432) = 1296 / 432

GCD(3, 432) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 201

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

LCM(3, 201) = 201

GCD(3, 201) = ( 3 x 201 ) / 201

GCD(3, 201) = 603 / 201

GCD(3, 201) = 3

GCD of 522, 165, 432, 201 is 3

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1. What is the GCD of 522, 165, 432, 201?

GCD of 522, 165, 432, 201 is 3

2. Where do I get the detailed procedure to find GCD of 522, 165, 432, 201?

You can find a detailed procedure to find GCD of 522, 165, 432, 201 on our page.

3. How to find GCD of 522, 165, 432, 201 on a calculator?

You can find the GCD of 522, 165, 432, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.