GCD of 301, 441, 31, 264 Calculator

Given Input numbers are 301, 441, 31, 264

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

Divisors of 301

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

1, 7, 43, 301

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 301, 441, 31, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 441, 31, 264 is 1.

Therefore, GCD of numbers 301, 441, 31, 264 is 1

Given Input Data is 301, 441, 31, 264

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 31 is 31

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(301, 441) = 18963

GCD(301, 441) = ( 301 x 441 ) / 18963

GCD(301, 441) = 132741 / 18963

GCD(301, 441) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 31

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

LCM(7, 31) = 217

GCD(7, 31) = ( 7 x 31 ) / 217

GCD(7, 31) = 217 / 217

GCD(7, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 301, 441, 31, 264 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 255, 76, 594
• GCD of 501, 218, 42, 996
• GCD of 591, 978, 49, 655
• GCD of 855, 682, 75, 155
• GCD of 677, 806, 19, 327

1. What is the GCD of 301, 441, 31, 264?

GCD of 301, 441, 31, 264 is 1

2. Where do I get the detailed procedure to find GCD of 301, 441, 31, 264?

You can find a detailed procedure to find GCD of 301, 441, 31, 264 on our page.

3. How to find GCD of 301, 441, 31, 264 on a calculator?

You can find the GCD of 301, 441, 31, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.