GCD of 315, 249, 24, 264 Calculator

Given Input numbers are 315, 249, 24, 264

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 315, 249, 24, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 249, 24, 264 is 3.

Therefore, GCD of numbers 315, 249, 24, 264 is 3

Given Input Data is 315, 249, 24, 264

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 249 is 3 x 83

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(315, 249) = 26145

GCD(315, 249) = ( 315 x 249 ) / 26145

GCD(315, 249) = 78435 / 26145

GCD(315, 249) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 264

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

LCM(3, 264) = 264

GCD(3, 264) = ( 3 x 264 ) / 264

GCD(3, 264) = 792 / 264

GCD(3, 264) = 3

GCD of 315, 249, 24, 264 is 3

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• GCD of 704, 626, 89, 185
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1. What is the GCD of 315, 249, 24, 264?

GCD of 315, 249, 24, 264 is 3

2. Where do I get the detailed procedure to find GCD of 315, 249, 24, 264?

You can find a detailed procedure to find GCD of 315, 249, 24, 264 on our page.

3. How to find GCD of 315, 249, 24, 264 on a calculator?

You can find the GCD of 315, 249, 24, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.