GCD of 522, 240, 728, 212 Calculator

Given Input numbers are 522, 240, 728, 212

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 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 522, 240, 728, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 240, 728, 212 is 2.

Therefore, GCD of numbers 522, 240, 728, 212 is 2

Given Input Data is 522, 240, 728, 212

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 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 212 is 2 x 2 x 53

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(522, 240) = 20880

GCD(522, 240) = ( 522 x 240 ) / 20880

GCD(522, 240) = 125280 / 20880

GCD(522, 240) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 728

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

LCM(6, 728) = 2184

GCD(6, 728) = ( 6 x 728 ) / 2184

GCD(6, 728) = 4368 / 2184

GCD(6, 728) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 212

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

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

GCD(2, 212) = 424 / 212

GCD(2, 212) = 2

GCD of 522, 240, 728, 212 is 2

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1. What is the GCD of 522, 240, 728, 212?

GCD of 522, 240, 728, 212 is 2

2. Where do I get the detailed procedure to find GCD of 522, 240, 728, 212?

You can find a detailed procedure to find GCD of 522, 240, 728, 212 on our page.

3. How to find GCD of 522, 240, 728, 212 on a calculator?

You can find the GCD of 522, 240, 728, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.