GCD of 213, 261, 17, 232 Calculator

Given Input numbers are 213, 261, 17, 232

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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 213, 261, 17, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 261, 17, 232 is 1.

Therefore, GCD of numbers 213, 261, 17, 232 is 1

Given Input Data is 213, 261, 17, 232

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 17 is 17

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(213, 261) = 18531

GCD(213, 261) = ( 213 x 261 ) / 18531

GCD(213, 261) = 55593 / 18531

GCD(213, 261) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 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 213, 261, 17, 232 is 1

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1. What is the GCD of 213, 261, 17, 232?

GCD of 213, 261, 17, 232 is 1

2. Where do I get the detailed procedure to find GCD of 213, 261, 17, 232?

You can find a detailed procedure to find GCD of 213, 261, 17, 232 on our page.

3. How to find GCD of 213, 261, 17, 232 on a calculator?

You can find the GCD of 213, 261, 17, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.