GCD of 382, 421, 176, 419 Calculator

Given Input numbers are 382, 421, 176, 419

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Greatest Common Divisior

We found the divisors of 382, 421, 176, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 421, 176, 419 is 1.

Therefore, GCD of numbers 382, 421, 176, 419 is 1

Given Input Data is 382, 421, 176, 419

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 421 is 421

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 419 is 419

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(382, 421) = 160822

GCD(382, 421) = ( 382 x 421 ) / 160822

GCD(382, 421) = 160822 / 160822

GCD(382, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 419

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

LCM(1, 419) = 419

GCD(1, 419) = ( 1 x 419 ) / 419

GCD(1, 419) = 419 / 419

GCD(1, 419) = 1

GCD of 382, 421, 176, 419 is 1

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1. What is the GCD of 382, 421, 176, 419?

GCD of 382, 421, 176, 419 is 1

2. Where do I get the detailed procedure to find GCD of 382, 421, 176, 419?

You can find a detailed procedure to find GCD of 382, 421, 176, 419 on our page.

3. How to find GCD of 382, 421, 176, 419 on a calculator?

You can find the GCD of 382, 421, 176, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.