GCD of 799, 284, 512, 119 Calculator

Given Input numbers are 799, 284, 512, 119

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

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 799, 284, 512, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 799, 284, 512, 119 is 1.

Therefore, GCD of numbers 799, 284, 512, 119 is 1

Given Input Data is 799, 284, 512, 119

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

Prime Factorization of 799 is 17 x 47

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 119 is 7 x 17

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(799, 284) = 226916

GCD(799, 284) = ( 799 x 284 ) / 226916

GCD(799, 284) = 226916 / 226916

GCD(799, 284) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 799, 284, 512, 119 is 1

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1. What is the GCD of 799, 284, 512, 119?

GCD of 799, 284, 512, 119 is 1

2. Where do I get the detailed procedure to find GCD of 799, 284, 512, 119?

You can find a detailed procedure to find GCD of 799, 284, 512, 119 on our page.

3. How to find GCD of 799, 284, 512, 119 on a calculator?

You can find the GCD of 799, 284, 512, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.