GCD of 264, 272, 662, 449 Calculator

Given Input numbers are 264, 272, 662, 449

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

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 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Greatest Common Divisior

We found the divisors of 264, 272, 662, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 272, 662, 449 is 1.

Therefore, GCD of numbers 264, 272, 662, 449 is 1

Given Input Data is 264, 272, 662, 449

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

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 662 is 2 x 331

Prime Factorization of 449 is 449

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(264, 272) = 8976

GCD(264, 272) = ( 264 x 272 ) / 8976

GCD(264, 272) = 71808 / 8976

GCD(264, 272) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 662

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

LCM(8, 662) = 2648

GCD(8, 662) = ( 8 x 662 ) / 2648

GCD(8, 662) = 5296 / 2648

GCD(8, 662) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 449

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

LCM(2, 449) = 898

GCD(2, 449) = ( 2 x 449 ) / 898

GCD(2, 449) = 898 / 898

GCD(2, 449) = 1

GCD of 264, 272, 662, 449 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 940, 165, 346
• GCD of 131, 632, 281, 199
• GCD of 652, 543, 103, 152
• GCD of 732, 164, 117, 145
• GCD of 133, 647, 334, 551

1. What is the GCD of 264, 272, 662, 449?

GCD of 264, 272, 662, 449 is 1

2. Where do I get the detailed procedure to find GCD of 264, 272, 662, 449?

You can find a detailed procedure to find GCD of 264, 272, 662, 449 on our page.

3. How to find GCD of 264, 272, 662, 449 on a calculator?

You can find the GCD of 264, 272, 662, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.