GCD of 221, 257, 399, 468 Calculator

Given Input numbers are 221, 257, 399, 468

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 257

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

1, 257

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 221, 257, 399, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 257, 399, 468 is 1.

Therefore, GCD of numbers 221, 257, 399, 468 is 1

Given Input Data is 221, 257, 399, 468

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 257 is 257

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(221, 257) = 56797

GCD(221, 257) = ( 221 x 257 ) / 56797

GCD(221, 257) = 56797 / 56797

GCD(221, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 399

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

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

GCD(1, 399) = 399 / 399

GCD(1, 399) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 221, 257, 399, 468 is 1

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1. What is the GCD of 221, 257, 399, 468?

GCD of 221, 257, 399, 468 is 1

2. Where do I get the detailed procedure to find GCD of 221, 257, 399, 468?

You can find a detailed procedure to find GCD of 221, 257, 399, 468 on our page.

3. How to find GCD of 221, 257, 399, 468 on a calculator?

You can find the GCD of 221, 257, 399, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.