GCD of 500, 475, 455, 221 Calculator

Given Input numbers are 500, 475, 455, 221

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 221

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

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 500, 475, 455, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 475, 455, 221 is 1.

Therefore, GCD of numbers 500, 475, 455, 221 is 1

Given Input Data is 500, 475, 455, 221

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 221 is 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(500, 475) = 9500

GCD(500, 475) = ( 500 x 475 ) / 9500

GCD(500, 475) = 237500 / 9500

GCD(500, 475) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 455

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

LCM(25, 455) = 2275

GCD(25, 455) = ( 25 x 455 ) / 2275

GCD(25, 455) = 11375 / 2275

GCD(25, 455) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 221

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

LCM(5, 221) = 1105

GCD(5, 221) = ( 5 x 221 ) / 1105

GCD(5, 221) = 1105 / 1105

GCD(5, 221) = 1

GCD of 500, 475, 455, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 702, 302, 731
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• GCD of 329, 553, 880, 760

1. What is the GCD of 500, 475, 455, 221?

GCD of 500, 475, 455, 221 is 1

2. Where do I get the detailed procedure to find GCD of 500, 475, 455, 221?

You can find a detailed procedure to find GCD of 500, 475, 455, 221 on our page.

3. How to find GCD of 500, 475, 455, 221 on a calculator?

You can find the GCD of 500, 475, 455, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.