GCD of 365, 990, 518, 931 Calculator

Given Input numbers are 365, 990, 518, 931

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

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 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 365, 990, 518, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 990, 518, 931 is 1.

Therefore, GCD of numbers 365, 990, 518, 931 is 1

Given Input Data is 365, 990, 518, 931

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

Prime Factorization of 365 is 5 x 73

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 931 is 7 x 7 x 19

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(365, 990) = 72270

GCD(365, 990) = ( 365 x 990 ) / 72270

GCD(365, 990) = 361350 / 72270

GCD(365, 990) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 518

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

LCM(5, 518) = 2590

GCD(5, 518) = ( 5 x 518 ) / 2590

GCD(5, 518) = 2590 / 2590

GCD(5, 518) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 931

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

LCM(1, 931) = 931

GCD(1, 931) = ( 1 x 931 ) / 931

GCD(1, 931) = 931 / 931

GCD(1, 931) = 1

GCD of 365, 990, 518, 931 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 990, 410, 344, 916

1. What is the GCD of 365, 990, 518, 931?

GCD of 365, 990, 518, 931 is 1

2. Where do I get the detailed procedure to find GCD of 365, 990, 518, 931?

You can find a detailed procedure to find GCD of 365, 990, 518, 931 on our page.

3. How to find GCD of 365, 990, 518, 931 on a calculator?

You can find the GCD of 365, 990, 518, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.