GCD of 927, 446, 489, 310 Calculator

Given Input numbers are 927, 446, 489, 310

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

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 927, 446, 489, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 446, 489, 310 is 1.

Therefore, GCD of numbers 927, 446, 489, 310 is 1

Given Input Data is 927, 446, 489, 310

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

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 446 is 2 x 223

Prime Factorization of 489 is 3 x 163

Prime Factorization of 310 is 2 x 5 x 31

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(927, 446) = 413442

GCD(927, 446) = ( 927 x 446 ) / 413442

GCD(927, 446) = 413442 / 413442

GCD(927, 446) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 927, 446, 489, 310 is 1

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1. What is the GCD of 927, 446, 489, 310?

GCD of 927, 446, 489, 310 is 1

2. Where do I get the detailed procedure to find GCD of 927, 446, 489, 310?

You can find a detailed procedure to find GCD of 927, 446, 489, 310 on our page.

3. How to find GCD of 927, 446, 489, 310 on a calculator?

You can find the GCD of 927, 446, 489, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.