GCD of 592, 836, 828, 622 Calculator

Given Input numbers are 592, 836, 828, 622

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 592, 836, 828, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 836, 828, 622 is 2.

Therefore, GCD of numbers 592, 836, 828, 622 is 2

Given Input Data is 592, 836, 828, 622

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 622 is 2 x 311

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(592, 836) = 123728

GCD(592, 836) = ( 592 x 836 ) / 123728

GCD(592, 836) = 494912 / 123728

GCD(592, 836) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 828

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

LCM(4, 828) = 828

GCD(4, 828) = ( 4 x 828 ) / 828

GCD(4, 828) = 3312 / 828

GCD(4, 828) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 622

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

LCM(4, 622) = 1244

GCD(4, 622) = ( 4 x 622 ) / 1244

GCD(4, 622) = 2488 / 1244

GCD(4, 622) = 2

GCD of 592, 836, 828, 622 is 2

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1. What is the GCD of 592, 836, 828, 622?

GCD of 592, 836, 828, 622 is 2

2. Where do I get the detailed procedure to find GCD of 592, 836, 828, 622?

You can find a detailed procedure to find GCD of 592, 836, 828, 622 on our page.

3. How to find GCD of 592, 836, 828, 622 on a calculator?

You can find the GCD of 592, 836, 828, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.