GCD of 264, 448, 813 Calculator

Given Input numbers are 264, 448, 813

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 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 264, 448, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 448, 813 is 1.

Therefore, GCD of numbers 264, 448, 813 is 1

Given Input Data is 264, 448, 813

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 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 813 is 3 x 271

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, 448) = 14784

GCD(264, 448) = ( 264 x 448 ) / 14784

GCD(264, 448) = 118272 / 14784

GCD(264, 448) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 813

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

LCM(8, 813) = 6504

GCD(8, 813) = ( 8 x 813 ) / 6504

GCD(8, 813) = 6504 / 6504

GCD(8, 813) = 1

GCD of 264, 448, 813 is 1

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1. What is the GCD of 264, 448, 813?

GCD of 264, 448, 813 is 1

2. Where do I get the detailed procedure to find GCD of 264, 448, 813?

You can find a detailed procedure to find GCD of 264, 448, 813 on our page.

3. How to find GCD of 264, 448, 813 on a calculator?

You can find the GCD of 264, 448, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.