GCD of 116, 315, 576 Calculator

Given Input numbers are 116, 315, 576

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

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 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 116, 315, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 315, 576 is 1.

Therefore, GCD of numbers 116, 315, 576 is 1

Given Input Data is 116, 315, 576

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

Prime Factorization of 116 is 2 x 2 x 29

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

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(116, 315) = 36540

GCD(116, 315) = ( 116 x 315 ) / 36540

GCD(116, 315) = 36540 / 36540

GCD(116, 315) = 1

Step2:

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 116, 315, 576 is 1

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• GCD of 612, 980, 627
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1. What is the GCD of 116, 315, 576?

GCD of 116, 315, 576 is 1

2. Where do I get the detailed procedure to find GCD of 116, 315, 576?

You can find a detailed procedure to find GCD of 116, 315, 576 on our page.

3. How to find GCD of 116, 315, 576 on a calculator?

You can find the GCD of 116, 315, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.