GCD of 516, 234, 904, 246 Calculator

Given Input numbers are 516, 234, 904, 246

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 246

List of positive integer divisors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Greatest Common Divisior

We found the divisors of 516, 234, 904, 246 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 234, 904, 246 is 2.

Therefore, GCD of numbers 516, 234, 904, 246 is 2

Given Input Data is 516, 234, 904, 246

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 246 is 2 x 3 x 41

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(516, 234) = 20124

GCD(516, 234) = ( 516 x 234 ) / 20124

GCD(516, 234) = 120744 / 20124

GCD(516, 234) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 904

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

LCM(6, 904) = 2712

GCD(6, 904) = ( 6 x 904 ) / 2712

GCD(6, 904) = 5424 / 2712

GCD(6, 904) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 246

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

LCM(2, 246) = 246

GCD(2, 246) = ( 2 x 246 ) / 246

GCD(2, 246) = 492 / 246

GCD(2, 246) = 2

GCD of 516, 234, 904, 246 is 2

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1. What is the GCD of 516, 234, 904, 246?

GCD of 516, 234, 904, 246 is 2

2. Where do I get the detailed procedure to find GCD of 516, 234, 904, 246?

You can find a detailed procedure to find GCD of 516, 234, 904, 246 on our page.

3. How to find GCD of 516, 234, 904, 246 on a calculator?

You can find the GCD of 516, 234, 904, 246 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.