GCD of 221, 508, 428 Calculator

Given Input numbers are 221, 508, 428

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 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 428

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

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 221, 508, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 508, 428 is 1.

Therefore, GCD of numbers 221, 508, 428 is 1

Given Input Data is 221, 508, 428

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 428 is 2 x 2 x 107

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, 508) = 112268

GCD(221, 508) = ( 221 x 508 ) / 112268

GCD(221, 508) = 112268 / 112268

GCD(221, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 221, 508, 428 is 1

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1. What is the GCD of 221, 508, 428?

GCD of 221, 508, 428 is 1

2. Where do I get the detailed procedure to find GCD of 221, 508, 428?

You can find a detailed procedure to find GCD of 221, 508, 428 on our page.

3. How to find GCD of 221, 508, 428 on a calculator?

You can find the GCD of 221, 508, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.