GCD of 446, 264, 11, 472 Calculator

Given Input numbers are 446, 264, 11, 472

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

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

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 446, 264, 11, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 264, 11, 472 is 1.

Therefore, GCD of numbers 446, 264, 11, 472 is 1

Given Input Data is 446, 264, 11, 472

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

Prime Factorization of 446 is 2 x 223

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

Prime Factorization of 11 is 11

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(446, 264) = 58872

GCD(446, 264) = ( 446 x 264 ) / 58872

GCD(446, 264) = 117744 / 58872

GCD(446, 264) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 446, 264, 11, 472 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 685, 16, 595
• GCD of 445, 199, 35, 982
• GCD of 793, 475, 83, 993
• GCD of 475, 485, 98, 856
• GCD of 547, 455, 61, 225

1. What is the GCD of 446, 264, 11, 472?

GCD of 446, 264, 11, 472 is 1

2. Where do I get the detailed procedure to find GCD of 446, 264, 11, 472?

You can find a detailed procedure to find GCD of 446, 264, 11, 472 on our page.

3. How to find GCD of 446, 264, 11, 472 on a calculator?

You can find the GCD of 446, 264, 11, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.