GCD of 482, 448, 264 Calculator

Given Input numbers are 482, 448, 264

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

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

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 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 482, 448, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 482, 448, 264 is 2.

Therefore, GCD of numbers 482, 448, 264 is 2

Given Input Data is 482, 448, 264

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

Prime Factorization of 482 is 2 x 241

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(482, 448) = 107968

GCD(482, 448) = ( 482 x 448 ) / 107968

GCD(482, 448) = 215936 / 107968

GCD(482, 448) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 264

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

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

GCD(2, 264) = 528 / 264

GCD(2, 264) = 2

GCD of 482, 448, 264 is 2

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1. What is the GCD of 482, 448, 264?

GCD of 482, 448, 264 is 2

2. Where do I get the detailed procedure to find GCD of 482, 448, 264?

You can find a detailed procedure to find GCD of 482, 448, 264 on our page.

3. How to find GCD of 482, 448, 264 on a calculator?

You can find the GCD of 482, 448, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.