GCD of 58, 658, 730, 199 Calculator

Given Input numbers are 58, 658, 730, 199

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

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 199

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

1, 199

Greatest Common Divisior

We found the divisors of 58, 658, 730, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 658, 730, 199 is 1.

Therefore, GCD of numbers 58, 658, 730, 199 is 1

Given Input Data is 58, 658, 730, 199

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 730 is 2 x 5 x 73

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(58, 658) = 19082

GCD(58, 658) = ( 58 x 658 ) / 19082

GCD(58, 658) = 38164 / 19082

GCD(58, 658) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 730

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

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

GCD(2, 730) = 1460 / 730

GCD(2, 730) = 2

Step3:

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

GCD of 58, 658, 730, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 313, 429, 407
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• GCD of 43, 537, 249, 597
• GCD of 40, 311, 238, 670
• GCD of 24, 741, 673, 330

1. What is the GCD of 58, 658, 730, 199?

GCD of 58, 658, 730, 199 is 1

2. Where do I get the detailed procedure to find GCD of 58, 658, 730, 199?

You can find a detailed procedure to find GCD of 58, 658, 730, 199 on our page.

3. How to find GCD of 58, 658, 730, 199 on a calculator?

You can find the GCD of 58, 658, 730, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.