GCD of 384, 762, 199 Calculator

Given Input numbers are 384, 762, 199

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 199

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

1, 199

Greatest Common Divisior

We found the divisors of 384, 762, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 762, 199 is 1.

Therefore, GCD of numbers 384, 762, 199 is 1

Given Input Data is 384, 762, 199

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 199 is 199

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(384, 762) = 48768

GCD(384, 762) = ( 384 x 762 ) / 48768

GCD(384, 762) = 292608 / 48768

GCD(384, 762) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 199

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

LCM(6, 199) = 1194

GCD(6, 199) = ( 6 x 199 ) / 1194

GCD(6, 199) = 1194 / 1194

GCD(6, 199) = 1

GCD of 384, 762, 199 is 1

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1. What is the GCD of 384, 762, 199?

GCD of 384, 762, 199 is 1

2. Where do I get the detailed procedure to find GCD of 384, 762, 199?

You can find a detailed procedure to find GCD of 384, 762, 199 on our page.

3. How to find GCD of 384, 762, 199 on a calculator?

You can find the GCD of 384, 762, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.