GCD of 288, 324, 24, 662 Calculator

Given Input numbers are 288, 324, 24, 662

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

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 288, 324, 24, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 324, 24, 662 is 2.

Therefore, GCD of numbers 288, 324, 24, 662 is 2

Given Input Data is 288, 324, 24, 662

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

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 662 is 2 x 331

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(288, 324) = 2592

GCD(288, 324) = ( 288 x 324 ) / 2592

GCD(288, 324) = 93312 / 2592

GCD(288, 324) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 24

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

LCM(36, 24) = 72

GCD(36, 24) = ( 36 x 24 ) / 72

GCD(36, 24) = 864 / 72

GCD(36, 24) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 662

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

LCM(12, 662) = 3972

GCD(12, 662) = ( 12 x 662 ) / 3972

GCD(12, 662) = 7944 / 3972

GCD(12, 662) = 2

GCD of 288, 324, 24, 662 is 2

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• GCD of 141, 684, 11, 896
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1. What is the GCD of 288, 324, 24, 662?

GCD of 288, 324, 24, 662 is 2

2. Where do I get the detailed procedure to find GCD of 288, 324, 24, 662?

You can find a detailed procedure to find GCD of 288, 324, 24, 662 on our page.

3. How to find GCD of 288, 324, 24, 662 on a calculator?

You can find the GCD of 288, 324, 24, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.