GCD of 261, 120, 133, 211 Calculator

Given Input numbers are 261, 120, 133, 211

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

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 261, 120, 133, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 120, 133, 211 is 1.

Therefore, GCD of numbers 261, 120, 133, 211 is 1

Given Input Data is 261, 120, 133, 211

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 133 is 7 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(261, 120) = 10440

GCD(261, 120) = ( 261 x 120 ) / 10440

GCD(261, 120) = 31320 / 10440

GCD(261, 120) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 133

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

LCM(3, 133) = 399

GCD(3, 133) = ( 3 x 133 ) / 399

GCD(3, 133) = 399 / 399

GCD(3, 133) = 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 261, 120, 133, 211 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 764, 259, 912
• GCD of 670, 530, 746, 875
• GCD of 645, 618, 349, 162
• GCD of 986, 505, 217, 225
• GCD of 819, 136, 735, 543

1. What is the GCD of 261, 120, 133, 211?

GCD of 261, 120, 133, 211 is 1

2. Where do I get the detailed procedure to find GCD of 261, 120, 133, 211?

You can find a detailed procedure to find GCD of 261, 120, 133, 211 on our page.

3. How to find GCD of 261, 120, 133, 211 on a calculator?

You can find the GCD of 261, 120, 133, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.