GCD of 236, 944, 864, 518 Calculator

Given Input numbers are 236, 944, 864, 518

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

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 236, 944, 864, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 944, 864, 518 is 2.

Therefore, GCD of numbers 236, 944, 864, 518 is 2

Given Input Data is 236, 944, 864, 518

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

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 518 is 2 x 7 x 37

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(236, 944) = 944

GCD(236, 944) = ( 236 x 944 ) / 944

GCD(236, 944) = 222784 / 944

GCD(236, 944) = 236

Step2:

Here we consider the GCD from the above i.e. 236 as first number and the next as 864

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

LCM(236, 864) = 50976

GCD(236, 864) = ( 236 x 864 ) / 50976

GCD(236, 864) = 203904 / 50976

GCD(236, 864) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 518

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

LCM(4, 518) = 1036

GCD(4, 518) = ( 4 x 518 ) / 1036

GCD(4, 518) = 2072 / 1036

GCD(4, 518) = 2

GCD of 236, 944, 864, 518 is 2

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1. What is the GCD of 236, 944, 864, 518?

GCD of 236, 944, 864, 518 is 2

2. Where do I get the detailed procedure to find GCD of 236, 944, 864, 518?

You can find a detailed procedure to find GCD of 236, 944, 864, 518 on our page.

3. How to find GCD of 236, 944, 864, 518 on a calculator?

You can find the GCD of 236, 944, 864, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.