GCD of 384, 504, 346, 581 Calculator

Given Input numbers are 384, 504, 346, 581

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 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 384, 504, 346, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 504, 346, 581 is 1.

Therefore, GCD of numbers 384, 504, 346, 581 is 1

Given Input Data is 384, 504, 346, 581

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 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 346 is 2 x 173

Prime Factorization of 581 is 7 x 83

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, 504) = 8064

GCD(384, 504) = ( 384 x 504 ) / 8064

GCD(384, 504) = 193536 / 8064

GCD(384, 504) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 346

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

LCM(24, 346) = 4152

GCD(24, 346) = ( 24 x 346 ) / 4152

GCD(24, 346) = 8304 / 4152

GCD(24, 346) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 581

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

LCM(2, 581) = 1162

GCD(2, 581) = ( 2 x 581 ) / 1162

GCD(2, 581) = 1162 / 1162

GCD(2, 581) = 1

GCD of 384, 504, 346, 581 is 1

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1. What is the GCD of 384, 504, 346, 581?

GCD of 384, 504, 346, 581 is 1

2. Where do I get the detailed procedure to find GCD of 384, 504, 346, 581?

You can find a detailed procedure to find GCD of 384, 504, 346, 581 on our page.

3. How to find GCD of 384, 504, 346, 581 on a calculator?

You can find the GCD of 384, 504, 346, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.