GCD of 315, 475, 12, 576 Calculator

Given Input numbers are 315, 475, 12, 576

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 475

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

1, 5, 19, 25, 95, 475

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 315, 475, 12, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 475, 12, 576 is 1.

Therefore, GCD of numbers 315, 475, 12, 576 is 1

Given Input Data is 315, 475, 12, 576

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 475 is 5 x 5 x 19

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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, 475) = 29925

GCD(315, 475) = ( 315 x 475 ) / 29925

GCD(315, 475) = 149625 / 29925

GCD(315, 475) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 12

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

LCM(5, 12) = 60

GCD(5, 12) = ( 5 x 12 ) / 60

GCD(5, 12) = 60 / 60

GCD(5, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

GCD of 315, 475, 12, 576 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 532, 45, 846
• GCD of 305, 996, 26, 662
• GCD of 525, 625, 34, 563
• GCD of 739, 851, 75, 562
• GCD of 319, 571, 78, 932

1. What is the GCD of 315, 475, 12, 576?

GCD of 315, 475, 12, 576 is 1

2. Where do I get the detailed procedure to find GCD of 315, 475, 12, 576?

You can find a detailed procedure to find GCD of 315, 475, 12, 576 on our page.

3. How to find GCD of 315, 475, 12, 576 on a calculator?

You can find the GCD of 315, 475, 12, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.