GCD of 199, 684, 366, 515 Calculator

Given Input numbers are 199, 684, 366, 515

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Greatest Common Divisior

We found the divisors of 199, 684, 366, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 684, 366, 515 is 1.

Therefore, GCD of numbers 199, 684, 366, 515 is 1

Given Input Data is 199, 684, 366, 515

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

Prime Factorization of 199 is 199

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 515 is 5 x 103

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(199, 684) = 136116

GCD(199, 684) = ( 199 x 684 ) / 136116

GCD(199, 684) = 136116 / 136116

GCD(199, 684) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 515

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

LCM(1, 515) = 515

GCD(1, 515) = ( 1 x 515 ) / 515

GCD(1, 515) = 515 / 515

GCD(1, 515) = 1

GCD of 199, 684, 366, 515 is 1

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1. What is the GCD of 199, 684, 366, 515?

GCD of 199, 684, 366, 515 is 1

2. Where do I get the detailed procedure to find GCD of 199, 684, 366, 515?

You can find a detailed procedure to find GCD of 199, 684, 366, 515 on our page.

3. How to find GCD of 199, 684, 366, 515 on a calculator?

You can find the GCD of 199, 684, 366, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.