GCD of 316, 309, 484, 899 Calculator

Given Input numbers are 316, 309, 484, 899

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 316, 309, 484, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 309, 484, 899 is 1.

Therefore, GCD of numbers 316, 309, 484, 899 is 1

Given Input Data is 316, 309, 484, 899

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 309 is 3 x 103

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 899 is 29 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(316, 309) = 97644

GCD(316, 309) = ( 316 x 309 ) / 97644

GCD(316, 309) = 97644 / 97644

GCD(316, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 316, 309, 484, 899 is 1

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1. What is the GCD of 316, 309, 484, 899?

GCD of 316, 309, 484, 899 is 1

2. Where do I get the detailed procedure to find GCD of 316, 309, 484, 899?

You can find a detailed procedure to find GCD of 316, 309, 484, 899 on our page.

3. How to find GCD of 316, 309, 484, 899 on a calculator?

You can find the GCD of 316, 309, 484, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.