GCD of 312, 257, 309, 171 Calculator

Given Input numbers are 312, 257, 309, 171

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 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 171

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

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 312, 257, 309, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 257, 309, 171 is 1.

Therefore, GCD of numbers 312, 257, 309, 171 is 1

Given Input Data is 312, 257, 309, 171

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 257 is 257

Prime Factorization of 309 is 3 x 103

Prime Factorization of 171 is 3 x 3 x 19

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, 257) = 80184

GCD(312, 257) = ( 312 x 257 ) / 80184

GCD(312, 257) = 80184 / 80184

GCD(312, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 312, 257, 309, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 854, 183, 432
• GCD of 671, 327, 727, 564
• GCD of 479, 273, 127, 722
• GCD of 816, 670, 238, 174
• GCD of 114, 923, 891, 933

1. What is the GCD of 312, 257, 309, 171?

GCD of 312, 257, 309, 171 is 1

2. Where do I get the detailed procedure to find GCD of 312, 257, 309, 171?

You can find a detailed procedure to find GCD of 312, 257, 309, 171 on our page.

3. How to find GCD of 312, 257, 309, 171 on a calculator?

You can find the GCD of 312, 257, 309, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.