GCD of 394, 784, 576 Calculator

Given Input numbers are 394, 784, 576

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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

Greatest Common Divisior

We found the divisors of 394, 784, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 784, 576 is 2.

Therefore, GCD of numbers 394, 784, 576 is 2

Given Input Data is 394, 784, 576

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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

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(394, 784) = 154448

GCD(394, 784) = ( 394 x 784 ) / 154448

GCD(394, 784) = 308896 / 154448

GCD(394, 784) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 576

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

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

GCD(2, 576) = 1152 / 576

GCD(2, 576) = 2

GCD of 394, 784, 576 is 2

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• GCD of 400, 794, 456
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1. What is the GCD of 394, 784, 576?

GCD of 394, 784, 576 is 2

2. Where do I get the detailed procedure to find GCD of 394, 784, 576?

You can find a detailed procedure to find GCD of 394, 784, 576 on our page.

3. How to find GCD of 394, 784, 576 on a calculator?

You can find the GCD of 394, 784, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.