GCD of 470, 538, 13, 217 Calculator

Given Input numbers are 470, 538, 13, 217

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 470, 538, 13, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 538, 13, 217 is 1.

Therefore, GCD of numbers 470, 538, 13, 217 is 1

Given Input Data is 470, 538, 13, 217

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 538 is 2 x 269

Prime Factorization of 13 is 13

Prime Factorization of 217 is 7 x 31

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(470, 538) = 126430

GCD(470, 538) = ( 470 x 538 ) / 126430

GCD(470, 538) = 252860 / 126430

GCD(470, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 470, 538, 13, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 472, 66, 447
• GCD of 235, 977, 69, 130
• GCD of 638, 315, 54, 526
• GCD of 177, 560, 53, 200
• GCD of 964, 533, 99, 559

1. What is the GCD of 470, 538, 13, 217?

GCD of 470, 538, 13, 217 is 1

2. Where do I get the detailed procedure to find GCD of 470, 538, 13, 217?

You can find a detailed procedure to find GCD of 470, 538, 13, 217 on our page.

3. How to find GCD of 470, 538, 13, 217 on a calculator?

You can find the GCD of 470, 538, 13, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.