GCD of 442, 301, 608, 211 Calculator

Given Input numbers are 442, 301, 608, 211

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 211

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

1, 211

Greatest Common Divisior

We found the divisors of 442, 301, 608, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 301, 608, 211 is 1.

Therefore, GCD of numbers 442, 301, 608, 211 is 1

Given Input Data is 442, 301, 608, 211

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 301 is 7 x 43

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 211 is 211

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(442, 301) = 133042

GCD(442, 301) = ( 442 x 301 ) / 133042

GCD(442, 301) = 133042 / 133042

GCD(442, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 211

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

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

GCD(1, 211) = 211 / 211

GCD(1, 211) = 1

GCD of 442, 301, 608, 211 is 1

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1. What is the GCD of 442, 301, 608, 211?

GCD of 442, 301, 608, 211 is 1

2. Where do I get the detailed procedure to find GCD of 442, 301, 608, 211?

You can find a detailed procedure to find GCD of 442, 301, 608, 211 on our page.

3. How to find GCD of 442, 301, 608, 211 on a calculator?

You can find the GCD of 442, 301, 608, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.