GCD of 844, 596, 54, 234 Calculator

Given Input numbers are 844, 596, 54, 234

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

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 844, 596, 54, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 596, 54, 234 is 2.

Therefore, GCD of numbers 844, 596, 54, 234 is 2

Given Input Data is 844, 596, 54, 234

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 234 is 2 x 3 x 3 x 13

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(844, 596) = 125756

GCD(844, 596) = ( 844 x 596 ) / 125756

GCD(844, 596) = 503024 / 125756

GCD(844, 596) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 54

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

LCM(4, 54) = 108

GCD(4, 54) = ( 4 x 54 ) / 108

GCD(4, 54) = 216 / 108

GCD(4, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 234

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

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

GCD(2, 234) = 468 / 234

GCD(2, 234) = 2

GCD of 844, 596, 54, 234 is 2

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1. What is the GCD of 844, 596, 54, 234?

GCD of 844, 596, 54, 234 is 2

2. Where do I get the detailed procedure to find GCD of 844, 596, 54, 234?

You can find a detailed procedure to find GCD of 844, 596, 54, 234 on our page.

3. How to find GCD of 844, 596, 54, 234 on a calculator?

You can find the GCD of 844, 596, 54, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.