GCD of 564, 309, 24, 135 Calculator

Given Input numbers are 564, 309, 24, 135

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 564, 309, 24, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 309, 24, 135 is 3.

Therefore, GCD of numbers 564, 309, 24, 135 is 3

Given Input Data is 564, 309, 24, 135

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 309 is 3 x 103

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

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(564, 309) = 58092

GCD(564, 309) = ( 564 x 309 ) / 58092

GCD(564, 309) = 174276 / 58092

GCD(564, 309) = 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 135

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

LCM(3, 135) = 135

GCD(3, 135) = ( 3 x 135 ) / 135

GCD(3, 135) = 405 / 135

GCD(3, 135) = 3

GCD of 564, 309, 24, 135 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 408, 39, 455
• GCD of 710, 387, 95, 673
• GCD of 535, 246, 45, 393
• GCD of 891, 377, 75, 217
• GCD of 201, 245, 59, 911

1. What is the GCD of 564, 309, 24, 135?

GCD of 564, 309, 24, 135 is 3

2. Where do I get the detailed procedure to find GCD of 564, 309, 24, 135?

You can find a detailed procedure to find GCD of 564, 309, 24, 135 on our page.

3. How to find GCD of 564, 309, 24, 135 on a calculator?

You can find the GCD of 564, 309, 24, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.