GCD of 983, 928, 315 Calculator

Given Input numbers are 983, 928, 315

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

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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

Greatest Common Divisior

We found the divisors of 983, 928, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 928, 315 is 1.

Therefore, GCD of numbers 983, 928, 315 is 1

Given Input Data is 983, 928, 315

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

Prime Factorization of 983 is 983

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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

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(983, 928) = 912224

GCD(983, 928) = ( 983 x 928 ) / 912224

GCD(983, 928) = 912224 / 912224

GCD(983, 928) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 983, 928, 315 is 1

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1. What is the GCD of 983, 928, 315?

GCD of 983, 928, 315 is 1

2. Where do I get the detailed procedure to find GCD of 983, 928, 315?

You can find a detailed procedure to find GCD of 983, 928, 315 on our page.

3. How to find GCD of 983, 928, 315 on a calculator?

You can find the GCD of 983, 928, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.