GCD of 576, 992, 270 Calculator

Given Input numbers are 576, 992, 270

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

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

Greatest Common Divisior

We found the divisors of 576, 992, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 992, 270 is 2.

Therefore, GCD of numbers 576, 992, 270 is 2

Given Input Data is 576, 992, 270

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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(576, 992) = 17856

GCD(576, 992) = ( 576 x 992 ) / 17856

GCD(576, 992) = 571392 / 17856

GCD(576, 992) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 270

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

LCM(32, 270) = 4320

GCD(32, 270) = ( 32 x 270 ) / 4320

GCD(32, 270) = 8640 / 4320

GCD(32, 270) = 2

GCD of 576, 992, 270 is 2

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1. What is the GCD of 576, 992, 270?

GCD of 576, 992, 270 is 2

2. Where do I get the detailed procedure to find GCD of 576, 992, 270?

You can find a detailed procedure to find GCD of 576, 992, 270 on our page.

3. How to find GCD of 576, 992, 270 on a calculator?

You can find the GCD of 576, 992, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.