GCD of 384, 412, 673, 578 Calculator

Given Input numbers are 384, 412, 673, 578

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 384, 412, 673, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 412, 673, 578 is 1.

Therefore, GCD of numbers 384, 412, 673, 578 is 1

Given Input Data is 384, 412, 673, 578

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 673 is 673

Prime Factorization of 578 is 2 x 17 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(384, 412) = 39552

GCD(384, 412) = ( 384 x 412 ) / 39552

GCD(384, 412) = 158208 / 39552

GCD(384, 412) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 673

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

LCM(4, 673) = 2692

GCD(4, 673) = ( 4 x 673 ) / 2692

GCD(4, 673) = 2692 / 2692

GCD(4, 673) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 384, 412, 673, 578 is 1

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• GCD of 698, 306, 387, 781
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1. What is the GCD of 384, 412, 673, 578?

GCD of 384, 412, 673, 578 is 1

2. Where do I get the detailed procedure to find GCD of 384, 412, 673, 578?

You can find a detailed procedure to find GCD of 384, 412, 673, 578 on our page.

3. How to find GCD of 384, 412, 673, 578 on a calculator?

You can find the GCD of 384, 412, 673, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.