GCD of 305, 590, 27, 208 Calculator

Given Input numbers are 305, 590, 27, 208

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 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 305, 590, 27, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 590, 27, 208 is 1.

Therefore, GCD of numbers 305, 590, 27, 208 is 1

Given Input Data is 305, 590, 27, 208

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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, 590) = 35990

GCD(305, 590) = ( 305 x 590 ) / 35990

GCD(305, 590) = 179950 / 35990

GCD(305, 590) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 27

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

LCM(5, 27) = 135

GCD(5, 27) = ( 5 x 27 ) / 135

GCD(5, 27) = 135 / 135

GCD(5, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 305, 590, 27, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 677, 16, 627
• GCD of 207, 818, 66, 777
• GCD of 278, 490, 27, 457
• GCD of 622, 668, 61, 916
• GCD of 427, 538, 15, 718

1. What is the GCD of 305, 590, 27, 208?

GCD of 305, 590, 27, 208 is 1

2. Where do I get the detailed procedure to find GCD of 305, 590, 27, 208?

You can find a detailed procedure to find GCD of 305, 590, 27, 208 on our page.

3. How to find GCD of 305, 590, 27, 208 on a calculator?

You can find the GCD of 305, 590, 27, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.