GCD of 282, 905, 480 Calculator

Given Input numbers are 282, 905, 480

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 282, 905, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 905, 480 is 1.

Therefore, GCD of numbers 282, 905, 480 is 1

Given Input Data is 282, 905, 480

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 905 is 5 x 181

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(282, 905) = 255210

GCD(282, 905) = ( 282 x 905 ) / 255210

GCD(282, 905) = 255210 / 255210

GCD(282, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 282, 905, 480 is 1

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1. What is the GCD of 282, 905, 480?

GCD of 282, 905, 480 is 1

2. Where do I get the detailed procedure to find GCD of 282, 905, 480?

You can find a detailed procedure to find GCD of 282, 905, 480 on our page.

3. How to find GCD of 282, 905, 480 on a calculator?

You can find the GCD of 282, 905, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.