GCD of 300, 711, 42, 211 Calculator

Given Input numbers are 300, 711, 42, 211

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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 300, 711, 42, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 711, 42, 211 is 1.

Therefore, GCD of numbers 300, 711, 42, 211 is 1

Given Input Data is 300, 711, 42, 211

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 42 is 2 x 3 x 7

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(300, 711) = 71100

GCD(300, 711) = ( 300 x 711 ) / 71100

GCD(300, 711) = 213300 / 71100

GCD(300, 711) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 211

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

LCM(3, 211) = 633

GCD(3, 211) = ( 3 x 211 ) / 633

GCD(3, 211) = 633 / 633

GCD(3, 211) = 1

GCD of 300, 711, 42, 211 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 397, 97, 187
• GCD of 296, 219, 73, 807
• GCD of 228, 202, 61, 708
• GCD of 381, 425, 34, 447
• GCD of 227, 520, 69, 374

1. What is the GCD of 300, 711, 42, 211?

GCD of 300, 711, 42, 211 is 1

2. Where do I get the detailed procedure to find GCD of 300, 711, 42, 211?

You can find a detailed procedure to find GCD of 300, 711, 42, 211 on our page.

3. How to find GCD of 300, 711, 42, 211 on a calculator?

You can find the GCD of 300, 711, 42, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.