GCD of 522, 309, 56, 168 Calculator

Given Input numbers are 522, 309, 56, 168

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 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Greatest Common Divisior

We found the divisors of 522, 309, 56, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 309, 56, 168 is 1.

Therefore, GCD of numbers 522, 309, 56, 168 is 1

Given Input Data is 522, 309, 56, 168

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 309 is 3 x 103

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 168 is 2 x 2 x 2 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(522, 309) = 53766

GCD(522, 309) = ( 522 x 309 ) / 53766

GCD(522, 309) = 161298 / 53766

GCD(522, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 56

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

LCM(3, 56) = 168

GCD(3, 56) = ( 3 x 56 ) / 168

GCD(3, 56) = 168 / 168

GCD(3, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

GCD of 522, 309, 56, 168 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 240, 72, 231
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• GCD of 680, 456, 17, 710

1. What is the GCD of 522, 309, 56, 168?

GCD of 522, 309, 56, 168 is 1

2. Where do I get the detailed procedure to find GCD of 522, 309, 56, 168?

You can find a detailed procedure to find GCD of 522, 309, 56, 168 on our page.

3. How to find GCD of 522, 309, 56, 168 on a calculator?

You can find the GCD of 522, 309, 56, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.