GCD of 509, 779, 990, 364 Calculator

Given Input numbers are 509, 779, 990, 364

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 509, 779, 990, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 779, 990, 364 is 1.

Therefore, GCD of numbers 509, 779, 990, 364 is 1

Given Input Data is 509, 779, 990, 364

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

Prime Factorization of 509 is 509

Prime Factorization of 779 is 19 x 41

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(509, 779) = 396511

GCD(509, 779) = ( 509 x 779 ) / 396511

GCD(509, 779) = 396511 / 396511

GCD(509, 779) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 509, 779, 990, 364 is 1

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1. What is the GCD of 509, 779, 990, 364?

GCD of 509, 779, 990, 364 is 1

2. Where do I get the detailed procedure to find GCD of 509, 779, 990, 364?

You can find a detailed procedure to find GCD of 509, 779, 990, 364 on our page.

3. How to find GCD of 509, 779, 990, 364 on a calculator?

You can find the GCD of 509, 779, 990, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.