GCD of 199, 906, 46, 343 Calculator

Given Input numbers are 199, 906, 46, 343

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 199, 906, 46, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 906, 46, 343 is 1.

Therefore, GCD of numbers 199, 906, 46, 343 is 1

Given Input Data is 199, 906, 46, 343

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

Prime Factorization of 199 is 199

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 46 is 2 x 23

Prime Factorization of 343 is 7 x 7 x 7

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, 906) = 180294

GCD(199, 906) = ( 199 x 906 ) / 180294

GCD(199, 906) = 180294 / 180294

GCD(199, 906) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 199, 906, 46, 343 is 1

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1. What is the GCD of 199, 906, 46, 343?

GCD of 199, 906, 46, 343 is 1

2. Where do I get the detailed procedure to find GCD of 199, 906, 46, 343?

You can find a detailed procedure to find GCD of 199, 906, 46, 343 on our page.

3. How to find GCD of 199, 906, 46, 343 on a calculator?

You can find the GCD of 199, 906, 46, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.