GCD of 522, 392, 74, 868 Calculator

Given Input numbers are 522, 392, 74, 868

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 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 522, 392, 74, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 392, 74, 868 is 2.

Therefore, GCD of numbers 522, 392, 74, 868 is 2

Given Input Data is 522, 392, 74, 868

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 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 74 is 2 x 37

Prime Factorization of 868 is 2 x 2 x 7 x 31

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, 392) = 102312

GCD(522, 392) = ( 522 x 392 ) / 102312

GCD(522, 392) = 204624 / 102312

GCD(522, 392) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

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

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 868

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

LCM(2, 868) = 868

GCD(2, 868) = ( 2 x 868 ) / 868

GCD(2, 868) = 1736 / 868

GCD(2, 868) = 2

GCD of 522, 392, 74, 868 is 2

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1. What is the GCD of 522, 392, 74, 868?

GCD of 522, 392, 74, 868 is 2

2. Where do I get the detailed procedure to find GCD of 522, 392, 74, 868?

You can find a detailed procedure to find GCD of 522, 392, 74, 868 on our page.

3. How to find GCD of 522, 392, 74, 868 on a calculator?

You can find the GCD of 522, 392, 74, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.