GCD of 999, 481, 671, 914 Calculator

Given Input numbers are 999, 481, 671, 914

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 999, 481, 671, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 481, 671, 914 is 1.

Therefore, GCD of numbers 999, 481, 671, 914 is 1

Given Input Data is 999, 481, 671, 914

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 481 is 13 x 37

Prime Factorization of 671 is 11 x 61

Prime Factorization of 914 is 2 x 457

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(999, 481) = 12987

GCD(999, 481) = ( 999 x 481 ) / 12987

GCD(999, 481) = 480519 / 12987

GCD(999, 481) = 37

Step2:

Here we consider the GCD from the above i.e. 37 as first number and the next as 671

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

LCM(37, 671) = 24827

GCD(37, 671) = ( 37 x 671 ) / 24827

GCD(37, 671) = 24827 / 24827

GCD(37, 671) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 999, 481, 671, 914 is 1

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1. What is the GCD of 999, 481, 671, 914?

GCD of 999, 481, 671, 914 is 1

2. Where do I get the detailed procedure to find GCD of 999, 481, 671, 914?

You can find a detailed procedure to find GCD of 999, 481, 671, 914 on our page.

3. How to find GCD of 999, 481, 671, 914 on a calculator?

You can find the GCD of 999, 481, 671, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.