GCD of 387, 471, 309 Calculator

Given Input numbers are 387, 471, 309

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 309

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

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 387, 471, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 471, 309 is 3.

Therefore, GCD of numbers 387, 471, 309 is 3

Given Input Data is 387, 471, 309

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 471 is 3 x 157

Prime Factorization of 309 is 3 x 103

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(387, 471) = 60759

GCD(387, 471) = ( 387 x 471 ) / 60759

GCD(387, 471) = 182277 / 60759

GCD(387, 471) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 309

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

LCM(3, 309) = 309

GCD(3, 309) = ( 3 x 309 ) / 309

GCD(3, 309) = 927 / 309

GCD(3, 309) = 3

GCD of 387, 471, 309 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 333, 614
• GCD of 500, 628, 672
• GCD of 158, 745, 919
• GCD of 283, 856, 666
• GCD of 322, 638, 335

1. What is the GCD of 387, 471, 309?

GCD of 387, 471, 309 is 3

2. Where do I get the detailed procedure to find GCD of 387, 471, 309?

You can find a detailed procedure to find GCD of 387, 471, 309 on our page.

3. How to find GCD of 387, 471, 309 on a calculator?

You can find the GCD of 387, 471, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.