GCD of 315, 488, 27, 981 Calculator

Given Input numbers are 315, 488, 27, 981

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 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 315, 488, 27, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 488, 27, 981 is 1.

Therefore, GCD of numbers 315, 488, 27, 981 is 1

Given Input Data is 315, 488, 27, 981

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 488 is 2 x 2 x 2 x 61

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 981 is 3 x 3 x 109

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, 488) = 153720

GCD(315, 488) = ( 315 x 488 ) / 153720

GCD(315, 488) = 153720 / 153720

GCD(315, 488) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 315, 488, 27, 981 is 1

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1. What is the GCD of 315, 488, 27, 981?

GCD of 315, 488, 27, 981 is 1

2. Where do I get the detailed procedure to find GCD of 315, 488, 27, 981?

You can find a detailed procedure to find GCD of 315, 488, 27, 981 on our page.

3. How to find GCD of 315, 488, 27, 981 on a calculator?

You can find the GCD of 315, 488, 27, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.