GCD of 424, 194, 432, 257 Calculator

Given Input numbers are 424, 194, 432, 257

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 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 424, 194, 432, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 194, 432, 257 is 1.

Therefore, GCD of numbers 424, 194, 432, 257 is 1

Given Input Data is 424, 194, 432, 257

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 194 is 2 x 97

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 257 is 257

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, 194) = 41128

GCD(424, 194) = ( 424 x 194 ) / 41128

GCD(424, 194) = 82256 / 41128

GCD(424, 194) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 432

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

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

GCD(2, 432) = 864 / 432

GCD(2, 432) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 257

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

LCM(2, 257) = 514

GCD(2, 257) = ( 2 x 257 ) / 514

GCD(2, 257) = 514 / 514

GCD(2, 257) = 1

GCD of 424, 194, 432, 257 is 1

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1. What is the GCD of 424, 194, 432, 257?

GCD of 424, 194, 432, 257 is 1

2. Where do I get the detailed procedure to find GCD of 424, 194, 432, 257?

You can find a detailed procedure to find GCD of 424, 194, 432, 257 on our page.

3. How to find GCD of 424, 194, 432, 257 on a calculator?

You can find the GCD of 424, 194, 432, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.