GCD of 538, 936, 878, 516 Calculator

Given Input numbers are 538, 936, 878, 516

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

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

Greatest Common Divisior

We found the divisors of 538, 936, 878, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 936, 878, 516 is 2.

Therefore, GCD of numbers 538, 936, 878, 516 is 2

Given Input Data is 538, 936, 878, 516

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 878 is 2 x 439

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

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(538, 936) = 251784

GCD(538, 936) = ( 538 x 936 ) / 251784

GCD(538, 936) = 503568 / 251784

GCD(538, 936) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 878

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

LCM(2, 878) = 878

GCD(2, 878) = ( 2 x 878 ) / 878

GCD(2, 878) = 1756 / 878

GCD(2, 878) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

GCD of 538, 936, 878, 516 is 2

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1. What is the GCD of 538, 936, 878, 516?

GCD of 538, 936, 878, 516 is 2

2. Where do I get the detailed procedure to find GCD of 538, 936, 878, 516?

You can find a detailed procedure to find GCD of 538, 936, 878, 516 on our page.

3. How to find GCD of 538, 936, 878, 516 on a calculator?

You can find the GCD of 538, 936, 878, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.