GCD of 254, 424, 349, 383 Calculator

Given Input numbers are 254, 424, 349, 383

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

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 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 254, 424, 349, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 424, 349, 383 is 1.

Therefore, GCD of numbers 254, 424, 349, 383 is 1

Given Input Data is 254, 424, 349, 383

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

Prime Factorization of 254 is 2 x 127

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

Prime Factorization of 349 is 349

Prime Factorization of 383 is 383

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(254, 424) = 53848

GCD(254, 424) = ( 254 x 424 ) / 53848

GCD(254, 424) = 107696 / 53848

GCD(254, 424) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 349

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

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

GCD(2, 349) = 698 / 698

GCD(2, 349) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

GCD of 254, 424, 349, 383 is 1

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1. What is the GCD of 254, 424, 349, 383?

GCD of 254, 424, 349, 383 is 1

2. Where do I get the detailed procedure to find GCD of 254, 424, 349, 383?

You can find a detailed procedure to find GCD of 254, 424, 349, 383 on our page.

3. How to find GCD of 254, 424, 349, 383 on a calculator?

You can find the GCD of 254, 424, 349, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.