GCD of 699, 711, 390, 303 Calculator

Given Input numbers are 699, 711, 390, 303

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 699, 711, 390, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 711, 390, 303 is 3.

Therefore, GCD of numbers 699, 711, 390, 303 is 3

Given Input Data is 699, 711, 390, 303

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 303 is 3 x 101

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(699, 711) = 165663

GCD(699, 711) = ( 699 x 711 ) / 165663

GCD(699, 711) = 496989 / 165663

GCD(699, 711) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 390

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

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

GCD(3, 390) = 1170 / 390

GCD(3, 390) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 303

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

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

GCD(3, 303) = 909 / 303

GCD(3, 303) = 3

GCD of 699, 711, 390, 303 is 3

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1. What is the GCD of 699, 711, 390, 303?

GCD of 699, 711, 390, 303 is 3

2. Where do I get the detailed procedure to find GCD of 699, 711, 390, 303?

You can find a detailed procedure to find GCD of 699, 711, 390, 303 on our page.

3. How to find GCD of 699, 711, 390, 303 on a calculator?

You can find the GCD of 699, 711, 390, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.