GCD of 221, 529, 470, 459 Calculator

Given Input numbers are 221, 529, 470, 459

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 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

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 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 221, 529, 470, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 529, 470, 459 is 1.

Therefore, GCD of numbers 221, 529, 470, 459 is 1

Given Input Data is 221, 529, 470, 459

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 529 is 23 x 23

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 459 is 3 x 3 x 3 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(221, 529) = 116909

GCD(221, 529) = ( 221 x 529 ) / 116909

GCD(221, 529) = 116909 / 116909

GCD(221, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 221, 529, 470, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 360, 683, 439
• GCD of 498, 362, 720, 492
• GCD of 926, 264, 996, 411
• GCD of 622, 684, 753, 224
• GCD of 859, 634, 638, 981

1. What is the GCD of 221, 529, 470, 459?

GCD of 221, 529, 470, 459 is 1

2. Where do I get the detailed procedure to find GCD of 221, 529, 470, 459?

You can find a detailed procedure to find GCD of 221, 529, 470, 459 on our page.

3. How to find GCD of 221, 529, 470, 459 on a calculator?

You can find the GCD of 221, 529, 470, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.