GCD of 730, 332, 199, 343 Calculator

Given Input numbers are 730, 332, 199, 343

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 199

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

1, 199

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 730, 332, 199, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 332, 199, 343 is 1.

Therefore, GCD of numbers 730, 332, 199, 343 is 1

Given Input Data is 730, 332, 199, 343

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 199 is 199

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(730, 332) = 121180

GCD(730, 332) = ( 730 x 332 ) / 121180

GCD(730, 332) = 242360 / 121180

GCD(730, 332) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 199

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

LCM(2, 199) = 398

GCD(2, 199) = ( 2 x 199 ) / 398

GCD(2, 199) = 398 / 398

GCD(2, 199) = 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 730, 332, 199, 343 is 1

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1. What is the GCD of 730, 332, 199, 343?

GCD of 730, 332, 199, 343 is 1

2. Where do I get the detailed procedure to find GCD of 730, 332, 199, 343?

You can find a detailed procedure to find GCD of 730, 332, 199, 343 on our page.

3. How to find GCD of 730, 332, 199, 343 on a calculator?

You can find the GCD of 730, 332, 199, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.