GCD of 312, 171, 259 Calculator

Given Input numbers are 312, 171, 259

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 312, 171, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 171, 259 is 1.

Therefore, GCD of numbers 312, 171, 259 is 1

Given Input Data is 312, 171, 259

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 259 is 7 x 37

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(312, 171) = 17784

GCD(312, 171) = ( 312 x 171 ) / 17784

GCD(312, 171) = 53352 / 17784

GCD(312, 171) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 259

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

LCM(3, 259) = 777

GCD(3, 259) = ( 3 x 259 ) / 777

GCD(3, 259) = 777 / 777

GCD(3, 259) = 1

GCD of 312, 171, 259 is 1

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1. What is the GCD of 312, 171, 259?

GCD of 312, 171, 259 is 1

2. Where do I get the detailed procedure to find GCD of 312, 171, 259?

You can find a detailed procedure to find GCD of 312, 171, 259 on our page.

3. How to find GCD of 312, 171, 259 on a calculator?

You can find the GCD of 312, 171, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.