GCD of 218, 529, 72, 232 Calculator

Given Input numbers are 218, 529, 72, 232

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 529

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

1, 23, 529

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 218, 529, 72, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 529, 72, 232 is 1.

Therefore, GCD of numbers 218, 529, 72, 232 is 1

Given Input Data is 218, 529, 72, 232

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 529 is 23 x 23

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(218, 529) = 115322

GCD(218, 529) = ( 218 x 529 ) / 115322

GCD(218, 529) = 115322 / 115322

GCD(218, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 218, 529, 72, 232 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 766, 888, 67, 821
• GCD of 997, 913, 13, 440
• GCD of 775, 404, 84, 575
• GCD of 283, 838, 90, 775
• GCD of 257, 869, 21, 385

1. What is the GCD of 218, 529, 72, 232?

GCD of 218, 529, 72, 232 is 1

2. Where do I get the detailed procedure to find GCD of 218, 529, 72, 232?

You can find a detailed procedure to find GCD of 218, 529, 72, 232 on our page.

3. How to find GCD of 218, 529, 72, 232 on a calculator?

You can find the GCD of 218, 529, 72, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.