GCD of 257, 428, 382, 506 Calculator

Given Input numbers are 257, 428, 382, 506

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

Divisors of 257

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

1, 257

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 382

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

1, 2, 191, 382

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 257, 428, 382, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 428, 382, 506 is 1.

Therefore, GCD of numbers 257, 428, 382, 506 is 1

Given Input Data is 257, 428, 382, 506

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

Prime Factorization of 257 is 257

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 382 is 2 x 191

Prime Factorization of 506 is 2 x 11 x 23

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(257, 428) = 109996

GCD(257, 428) = ( 257 x 428 ) / 109996

GCD(257, 428) = 109996 / 109996

GCD(257, 428) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 257, 428, 382, 506 is 1

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• GCD of 939, 723, 891, 603
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1. What is the GCD of 257, 428, 382, 506?

GCD of 257, 428, 382, 506 is 1

2. Where do I get the detailed procedure to find GCD of 257, 428, 382, 506?

You can find a detailed procedure to find GCD of 257, 428, 382, 506 on our page.

3. How to find GCD of 257, 428, 382, 506 on a calculator?

You can find the GCD of 257, 428, 382, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.