GCD of 211, 399, 48, 305 Calculator

Given Input numbers are 211, 399, 48, 305

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

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 305

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

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 211, 399, 48, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 211, 399, 48, 305 is 1.

Therefore, GCD of numbers 211, 399, 48, 305 is 1

Given Input Data is 211, 399, 48, 305

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

Prime Factorization of 211 is 211

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 305 is 5 x 61

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(211, 399) = 84189

GCD(211, 399) = ( 211 x 399 ) / 84189

GCD(211, 399) = 84189 / 84189

GCD(211, 399) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 211, 399, 48, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 553, 95, 347
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1. What is the GCD of 211, 399, 48, 305?

GCD of 211, 399, 48, 305 is 1

2. Where do I get the detailed procedure to find GCD of 211, 399, 48, 305?

You can find a detailed procedure to find GCD of 211, 399, 48, 305 on our page.

3. How to find GCD of 211, 399, 48, 305 on a calculator?

You can find the GCD of 211, 399, 48, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.