GCD of 309, 990, 70, 806 Calculator

Given Input numbers are 309, 990, 70, 806

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

Divisors of 309

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

1, 3, 103, 309

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 309, 990, 70, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 990, 70, 806 is 1.

Therefore, GCD of numbers 309, 990, 70, 806 is 1

Given Input Data is 309, 990, 70, 806

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 806 is 2 x 13 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(309, 990) = 101970

GCD(309, 990) = ( 309 x 990 ) / 101970

GCD(309, 990) = 305910 / 101970

GCD(309, 990) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 70

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

LCM(3, 70) = 210

GCD(3, 70) = ( 3 x 70 ) / 210

GCD(3, 70) = 210 / 210

GCD(3, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 309, 990, 70, 806 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 595, 46, 860
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• GCD of 648, 220, 46, 890

1. What is the GCD of 309, 990, 70, 806?

GCD of 309, 990, 70, 806 is 1

2. Where do I get the detailed procedure to find GCD of 309, 990, 70, 806?

You can find a detailed procedure to find GCD of 309, 990, 70, 806 on our page.

3. How to find GCD of 309, 990, 70, 806 on a calculator?

You can find the GCD of 309, 990, 70, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.