GCD of 864, 597, 15, 285 Calculator

Given Input numbers are 864, 597, 15, 285

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 864, 597, 15, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 597, 15, 285 is 3.

Therefore, GCD of numbers 864, 597, 15, 285 is 3

Given Input Data is 864, 597, 15, 285

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 597 is 3 x 199

Prime Factorization of 15 is 3 x 5

Prime Factorization of 285 is 3 x 5 x 19

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(864, 597) = 171936

GCD(864, 597) = ( 864 x 597 ) / 171936

GCD(864, 597) = 515808 / 171936

GCD(864, 597) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 285

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

LCM(3, 285) = 285

GCD(3, 285) = ( 3 x 285 ) / 285

GCD(3, 285) = 855 / 285

GCD(3, 285) = 3

GCD of 864, 597, 15, 285 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 136, 41, 804
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1. What is the GCD of 864, 597, 15, 285?

GCD of 864, 597, 15, 285 is 3

2. Where do I get the detailed procedure to find GCD of 864, 597, 15, 285?

You can find a detailed procedure to find GCD of 864, 597, 15, 285 on our page.

3. How to find GCD of 864, 597, 15, 285 on a calculator?

You can find the GCD of 864, 597, 15, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.