GCD of 522, 346, 418, 852 Calculator

Given Input numbers are 522, 346, 418, 852

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 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 522, 346, 418, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 346, 418, 852 is 2.

Therefore, GCD of numbers 522, 346, 418, 852 is 2

Given Input Data is 522, 346, 418, 852

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 346 is 2 x 173

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 852 is 2 x 2 x 3 x 71

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, 346) = 90306

GCD(522, 346) = ( 522 x 346 ) / 90306

GCD(522, 346) = 180612 / 90306

GCD(522, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 418

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

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

GCD(2, 418) = 836 / 418

GCD(2, 418) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 852

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

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

GCD(2, 852) = 1704 / 852

GCD(2, 852) = 2

GCD of 522, 346, 418, 852 is 2

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1. What is the GCD of 522, 346, 418, 852?

GCD of 522, 346, 418, 852 is 2

2. Where do I get the detailed procedure to find GCD of 522, 346, 418, 852?

You can find a detailed procedure to find GCD of 522, 346, 418, 852 on our page.

3. How to find GCD of 522, 346, 418, 852 on a calculator?

You can find the GCD of 522, 346, 418, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.