GCD of 630, 936, 288 Calculator

Given Input numbers are 630, 936, 288

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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 288

List of positive integer divisors of 288 that divides 288 without a remainder.

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

Greatest Common Divisior

We found the divisors of 630, 936, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 936, 288 is 18.

Therefore, GCD of numbers 630, 936, 288 is 18

Given Input Data is 630, 936, 288

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 2¹ x 3²

Multiplying them we get the GCD as 18

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(630, 936) = 32760

GCD(630, 936) = ( 630 x 936 ) / 32760

GCD(630, 936) = 589680 / 32760

GCD(630, 936) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 288

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

LCM(18, 288) = 288

GCD(18, 288) = ( 18 x 288 ) / 288

GCD(18, 288) = 5184 / 288

GCD(18, 288) = 18

GCD of 630, 936, 288 is 18

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 753, 896
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• GCD of 593, 636, 250
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1. What is the GCD of 630, 936, 288?

GCD of 630, 936, 288 is 18

2. Where do I get the detailed procedure to find GCD of 630, 936, 288?

You can find a detailed procedure to find GCD of 630, 936, 288 on our page.

3. How to find GCD of 630, 936, 288 on a calculator?

You can find the GCD of 630, 936, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.