GCD of 424, 348, 704, 381 Calculator

Given Input numbers are 424, 348, 704, 381

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 424, 348, 704, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 348, 704, 381 is 1.

Therefore, GCD of numbers 424, 348, 704, 381 is 1

Given Input Data is 424, 348, 704, 381

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 381 is 3 x 127

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(424, 348) = 36888

GCD(424, 348) = ( 424 x 348 ) / 36888

GCD(424, 348) = 147552 / 36888

GCD(424, 348) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 704

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

LCM(4, 704) = 704

GCD(4, 704) = ( 4 x 704 ) / 704

GCD(4, 704) = 2816 / 704

GCD(4, 704) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 381

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

LCM(4, 381) = 1524

GCD(4, 381) = ( 4 x 381 ) / 1524

GCD(4, 381) = 1524 / 1524

GCD(4, 381) = 1

GCD of 424, 348, 704, 381 is 1

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1. What is the GCD of 424, 348, 704, 381?

GCD of 424, 348, 704, 381 is 1

2. Where do I get the detailed procedure to find GCD of 424, 348, 704, 381?

You can find a detailed procedure to find GCD of 424, 348, 704, 381 on our page.

3. How to find GCD of 424, 348, 704, 381 on a calculator?

You can find the GCD of 424, 348, 704, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.