GCD of 315, 104, 39, 466 Calculator

Given Input numbers are 315, 104, 39, 466

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 315, 104, 39, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 104, 39, 466 is 1.

Therefore, GCD of numbers 315, 104, 39, 466 is 1

Given Input Data is 315, 104, 39, 466

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 39 is 3 x 13

Prime Factorization of 466 is 2 x 233

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(315, 104) = 32760

GCD(315, 104) = ( 315 x 104 ) / 32760

GCD(315, 104) = 32760 / 32760

GCD(315, 104) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 315, 104, 39, 466 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 842, 14, 124
• GCD of 848, 467, 71, 118
• GCD of 878, 455, 74, 957
• GCD of 165, 383, 98, 705
• GCD of 960, 438, 27, 146

1. What is the GCD of 315, 104, 39, 466?

GCD of 315, 104, 39, 466 is 1

2. Where do I get the detailed procedure to find GCD of 315, 104, 39, 466?

You can find a detailed procedure to find GCD of 315, 104, 39, 466 on our page.

3. How to find GCD of 315, 104, 39, 466 on a calculator?

You can find the GCD of 315, 104, 39, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.