GCD of 576, 948, 18 Calculator

Given Input numbers are 576, 948, 18

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Greatest Common Divisior

We found the divisors of 576, 948, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 948, 18 is 6.

Therefore, GCD of numbers 576, 948, 18 is 6

Given Input Data is 576, 948, 18

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 18 is 2 x 3 x 3

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(576, 948) = 45504

GCD(576, 948) = ( 576 x 948 ) / 45504

GCD(576, 948) = 546048 / 45504

GCD(576, 948) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 18

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

LCM(12, 18) = 36

GCD(12, 18) = ( 12 x 18 ) / 36

GCD(12, 18) = 216 / 36

GCD(12, 18) = 6

GCD of 576, 948, 18 is 6

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1. What is the GCD of 576, 948, 18?

GCD of 576, 948, 18 is 6

2. Where do I get the detailed procedure to find GCD of 576, 948, 18?

You can find a detailed procedure to find GCD of 576, 948, 18 on our page.

3. How to find GCD of 576, 948, 18 on a calculator?

You can find the GCD of 576, 948, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.