GCD of 315, 963, 16, 809 Calculator

Given Input numbers are 315, 963, 16, 809

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 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Greatest Common Divisior

We found the divisors of 315, 963, 16, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 963, 16, 809 is 1.

Therefore, GCD of numbers 315, 963, 16, 809 is 1

Given Input Data is 315, 963, 16, 809

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 963 is 3 x 3 x 107

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 809 is 809

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, 963) = 33705

GCD(315, 963) = ( 315 x 963 ) / 33705

GCD(315, 963) = 303345 / 33705

GCD(315, 963) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 16

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

LCM(9, 16) = 144

GCD(9, 16) = ( 9 x 16 ) / 144

GCD(9, 16) = 144 / 144

GCD(9, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

GCD of 315, 963, 16, 809 is 1

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• GCD of 536, 807, 58, 622
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1. What is the GCD of 315, 963, 16, 809?

GCD of 315, 963, 16, 809 is 1

2. Where do I get the detailed procedure to find GCD of 315, 963, 16, 809?

You can find a detailed procedure to find GCD of 315, 963, 16, 809 on our page.

3. How to find GCD of 315, 963, 16, 809 on a calculator?

You can find the GCD of 315, 963, 16, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.