GCD of 257, 250, 26, 442 Calculator

Given Input numbers are 257, 250, 26, 442

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 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 257, 250, 26, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 250, 26, 442 is 1.

Therefore, GCD of numbers 257, 250, 26, 442 is 1

Given Input Data is 257, 250, 26, 442

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

Prime Factorization of 257 is 257

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 26 is 2 x 13

Prime Factorization of 442 is 2 x 13 x 17

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, 250) = 64250

GCD(257, 250) = ( 257 x 250 ) / 64250

GCD(257, 250) = 64250 / 64250

GCD(257, 250) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 26

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

LCM(1, 26) = 26

GCD(1, 26) = ( 1 x 26 ) / 26

GCD(1, 26) = 26 / 26

GCD(1, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 257, 250, 26, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 352, 64, 274
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• GCD of 521, 194, 36, 566

1. What is the GCD of 257, 250, 26, 442?

GCD of 257, 250, 26, 442 is 1

2. Where do I get the detailed procedure to find GCD of 257, 250, 26, 442?

You can find a detailed procedure to find GCD of 257, 250, 26, 442 on our page.

3. How to find GCD of 257, 250, 26, 442 on a calculator?

You can find the GCD of 257, 250, 26, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.