GCD of 475, 725, 20, 221 Calculator

Given Input numbers are 475, 725, 20, 221

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

Divisors of 475

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

1, 5, 19, 25, 95, 475

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

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 475, 725, 20, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 725, 20, 221 is 1.

Therefore, GCD of numbers 475, 725, 20, 221 is 1

Given Input Data is 475, 725, 20, 221

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 20 is 2 x 2 x 5

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(475, 725) = 13775

GCD(475, 725) = ( 475 x 725 ) / 13775

GCD(475, 725) = 344375 / 13775

GCD(475, 725) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 20

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

LCM(25, 20) = 100

GCD(25, 20) = ( 25 x 20 ) / 100

GCD(25, 20) = 500 / 100

GCD(25, 20) = 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 475, 725, 20, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 182, 68, 389
• GCD of 290, 386, 49, 328
• GCD of 639, 200, 83, 754
• GCD of 992, 147, 55, 402
• GCD of 699, 412, 56, 466

1. What is the GCD of 475, 725, 20, 221?

GCD of 475, 725, 20, 221 is 1

2. Where do I get the detailed procedure to find GCD of 475, 725, 20, 221?

You can find a detailed procedure to find GCD of 475, 725, 20, 221 on our page.

3. How to find GCD of 475, 725, 20, 221 on a calculator?

You can find the GCD of 475, 725, 20, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.