GCD of 15, 475, 416, 309 Calculator

Given Input numbers are 15, 475, 416, 309

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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 15, 475, 416, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 475, 416, 309 is 1.

Therefore, GCD of numbers 15, 475, 416, 309 is 1

Given Input Data is 15, 475, 416, 309

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 309 is 3 x 103

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(15, 475) = 1425

GCD(15, 475) = ( 15 x 475 ) / 1425

GCD(15, 475) = 7125 / 1425

GCD(15, 475) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 416

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

LCM(5, 416) = 2080

GCD(5, 416) = ( 5 x 416 ) / 2080

GCD(5, 416) = 2080 / 2080

GCD(5, 416) = 1

Step3:

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

GCD of 15, 475, 416, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 463, 218, 429
• GCD of 37, 385, 934, 766
• GCD of 63, 812, 726, 346
• GCD of 76, 315, 310, 265
• GCD of 98, 634, 659, 628

1. What is the GCD of 15, 475, 416, 309?

GCD of 15, 475, 416, 309 is 1

2. Where do I get the detailed procedure to find GCD of 15, 475, 416, 309?

You can find a detailed procedure to find GCD of 15, 475, 416, 309 on our page.

3. How to find GCD of 15, 475, 416, 309 on a calculator?

You can find the GCD of 15, 475, 416, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.