GCD of 199, 247, 855, 258 Calculator

Given Input numbers are 199, 247, 855, 258

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 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 199, 247, 855, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 247, 855, 258 is 1.

Therefore, GCD of numbers 199, 247, 855, 258 is 1

Given Input Data is 199, 247, 855, 258

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

Prime Factorization of 199 is 199

Prime Factorization of 247 is 13 x 19

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 258 is 2 x 3 x 43

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, 247) = 49153

GCD(199, 247) = ( 199 x 247 ) / 49153

GCD(199, 247) = 49153 / 49153

GCD(199, 247) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 199, 247, 855, 258 is 1

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1. What is the GCD of 199, 247, 855, 258?

GCD of 199, 247, 855, 258 is 1

2. Where do I get the detailed procedure to find GCD of 199, 247, 855, 258?

You can find a detailed procedure to find GCD of 199, 247, 855, 258 on our page.

3. How to find GCD of 199, 247, 855, 258 on a calculator?

You can find the GCD of 199, 247, 855, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.