GCD of 585, 216, 288, 270 Calculator

Given Input numbers are 585, 216, 288, 270

In the factoring method, we have to find the divisors of all numbers

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (585, 216, 288, 270) = 9.

Given numbers are 585, 216, 288, 270

The list of prime factors of all numbers are

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 3²

Therefore, GCD of 585, 216, 288, 270 is 9.

Given numbers are 585, 216, 288, 270

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(585, 216) = 14040

GCD(585, 216) = ( 585 x 216 ) / 14040

= 585 / 216

= 585

Step2:

LCM(9, 288) = 288

GCD(9, 288) = ( 9 x 288 ) / 288

= 9 / 288

= 9

Step3:

LCM(9, 270) = 270

GCD(9, 270) = ( 9 x 270 ) / 270

= 9 / 270

= 9

So, Greatest Common Divisor of 585, 216, 288, 270 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 275, 991, 212
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• GCD of 368, 381, 290, 508
• GCD of 723, 176, 875, 884
• GCD of 833, 328, 347, 934

Given numbers are 585, 216, 288, 270
The greatest common divisor of numbers 585, 216, 288, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 216, 288, 270 is 9.

1. What is the GCD of 585, 216, 288, 270?

GCD of given numbers 585, 216, 288, 270 is 9

2. How to calculate the greatest common divisor of 585, 216, 288, 270?

We can find the highest common divisor of 585, 216, 288, 270 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 585, 216, 288, 270 i.e 9.

3. How can I use the GCD of 585, 216, 288, 270Calculator?

Out the numbers 585, 216, 288, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.