GCD of 576, 228, 96, 935 Calculator

Given Input numbers are 576, 228, 96, 935

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 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Greatest Common Divisior

We found the divisors of 576, 228, 96, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 228, 96, 935 is 1.

Therefore, GCD of numbers 576, 228, 96, 935 is 1

Given Input Data is 576, 228, 96, 935

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 228 is 2 x 2 x 3 x 19

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 935 is 5 x 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

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, 228) = 10944

GCD(576, 228) = ( 576 x 228 ) / 10944

GCD(576, 228) = 131328 / 10944

GCD(576, 228) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 96

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

LCM(12, 96) = 96

GCD(12, 96) = ( 12 x 96 ) / 96

GCD(12, 96) = 1152 / 96

GCD(12, 96) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 935

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

LCM(12, 935) = 11220

GCD(12, 935) = ( 12 x 935 ) / 11220

GCD(12, 935) = 11220 / 11220

GCD(12, 935) = 1

GCD of 576, 228, 96, 935 is 1

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1. What is the GCD of 576, 228, 96, 935?

GCD of 576, 228, 96, 935 is 1

2. Where do I get the detailed procedure to find GCD of 576, 228, 96, 935?

You can find a detailed procedure to find GCD of 576, 228, 96, 935 on our page.

3. How to find GCD of 576, 228, 96, 935 on a calculator?

You can find the GCD of 576, 228, 96, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.