GCD of 399, 606, 522, 585 Calculator

Given Input numbers are 399, 606, 522, 585

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

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 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 399, 606, 522, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 606, 522, 585 is 3.

Therefore, GCD of numbers 399, 606, 522, 585 is 3

Given Input Data is 399, 606, 522, 585

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(399, 606) = 80598

GCD(399, 606) = ( 399 x 606 ) / 80598

GCD(399, 606) = 241794 / 80598

GCD(399, 606) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 522

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

LCM(3, 522) = 522

GCD(3, 522) = ( 3 x 522 ) / 522

GCD(3, 522) = 1566 / 522

GCD(3, 522) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 585

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

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

GCD(3, 585) = 1755 / 585

GCD(3, 585) = 3

GCD of 399, 606, 522, 585 is 3

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• GCD of 335, 975, 549, 965
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1. What is the GCD of 399, 606, 522, 585?

GCD of 399, 606, 522, 585 is 3

2. Where do I get the detailed procedure to find GCD of 399, 606, 522, 585?

You can find a detailed procedure to find GCD of 399, 606, 522, 585 on our page.

3. How to find GCD of 399, 606, 522, 585 on a calculator?

You can find the GCD of 399, 606, 522, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.