GCD of 522, 474, 516, 867 Calculator

Given Input numbers are 522, 474, 516, 867

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 522, 474, 516, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 474, 516, 867 is 3.

Therefore, GCD of numbers 522, 474, 516, 867 is 3

Given Input Data is 522, 474, 516, 867

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 474 is 2 x 3 x 79

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 867 is 3 x 17 x 17

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, 474) = 41238

GCD(522, 474) = ( 522 x 474 ) / 41238

GCD(522, 474) = 247428 / 41238

GCD(522, 474) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 516

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

LCM(6, 516) = 516

GCD(6, 516) = ( 6 x 516 ) / 516

GCD(6, 516) = 3096 / 516

GCD(6, 516) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 867

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

LCM(6, 867) = 1734

GCD(6, 867) = ( 6 x 867 ) / 1734

GCD(6, 867) = 5202 / 1734

GCD(6, 867) = 3

GCD of 522, 474, 516, 867 is 3

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1. What is the GCD of 522, 474, 516, 867?

GCD of 522, 474, 516, 867 is 3

2. Where do I get the detailed procedure to find GCD of 522, 474, 516, 867?

You can find a detailed procedure to find GCD of 522, 474, 516, 867 on our page.

3. How to find GCD of 522, 474, 516, 867 on a calculator?

You can find the GCD of 522, 474, 516, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.