GCD of 305, 248, 258, 242 Calculator

Given Input numbers are 305, 248, 258, 242

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 258

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

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 305, 248, 258, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 248, 258, 242 is 1.

Therefore, GCD of numbers 305, 248, 258, 242 is 1

Given Input Data is 305, 248, 258, 242

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 242 is 2 x 11 x 11

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(305, 248) = 75640

GCD(305, 248) = ( 305 x 248 ) / 75640

GCD(305, 248) = 75640 / 75640

GCD(305, 248) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 305, 248, 258, 242 is 1

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1. What is the GCD of 305, 248, 258, 242?

GCD of 305, 248, 258, 242 is 1

2. Where do I get the detailed procedure to find GCD of 305, 248, 258, 242?

You can find a detailed procedure to find GCD of 305, 248, 258, 242 on our page.

3. How to find GCD of 305, 248, 258, 242 on a calculator?

You can find the GCD of 305, 248, 258, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.