GCD of 288, 480, 781 Calculator

Given Input numbers are 288, 480, 781

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 288, 480, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 480, 781 is 1.

Therefore, GCD of numbers 288, 480, 781 is 1

Given Input Data is 288, 480, 781

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime Factorization of 781 is 11 x 71

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(288, 480) = 1440

GCD(288, 480) = ( 288 x 480 ) / 1440

GCD(288, 480) = 138240 / 1440

GCD(288, 480) = 96

Step2:

Here we consider the GCD from the above i.e. 96 as first number and the next as 781

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

LCM(96, 781) = 74976

GCD(96, 781) = ( 96 x 781 ) / 74976

GCD(96, 781) = 74976 / 74976

GCD(96, 781) = 1

GCD of 288, 480, 781 is 1

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1. What is the GCD of 288, 480, 781?

GCD of 288, 480, 781 is 1

2. Where do I get the detailed procedure to find GCD of 288, 480, 781?

You can find a detailed procedure to find GCD of 288, 480, 781 on our page.

3. How to find GCD of 288, 480, 781 on a calculator?

You can find the GCD of 288, 480, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.