GCD of 19, 211, 920, 305 Calculator

Given Input numbers are 19, 211, 920, 305

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 211

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

1, 211

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 19, 211, 920, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 211, 920, 305 is 1.

Therefore, GCD of numbers 19, 211, 920, 305 is 1

Given Input Data is 19, 211, 920, 305

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

Prime Factorization of 19 is 19

Prime Factorization of 211 is 211

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(19, 211) = 4009

GCD(19, 211) = ( 19 x 211 ) / 4009

GCD(19, 211) = 4009 / 4009

GCD(19, 211) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 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 19, 211, 920, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 665, 245, 998
• GCD of 41, 790, 175, 509
• GCD of 74, 770, 897, 845
• GCD of 43, 659, 312, 974
• GCD of 65, 313, 223, 640

1. What is the GCD of 19, 211, 920, 305?

GCD of 19, 211, 920, 305 is 1

2. Where do I get the detailed procedure to find GCD of 19, 211, 920, 305?

You can find a detailed procedure to find GCD of 19, 211, 920, 305 on our page.

3. How to find GCD of 19, 211, 920, 305 on a calculator?

You can find the GCD of 19, 211, 920, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.