GCD of 288, 416, 630 Calculator

Given Input numbers are 288, 416, 630

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 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 288, 416, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 416, 630 is 2.

Therefore, GCD of numbers 288, 416, 630 is 2

Given Input Data is 288, 416, 630

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 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

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(288, 416) = 3744

GCD(288, 416) = ( 288 x 416 ) / 3744

GCD(288, 416) = 119808 / 3744

GCD(288, 416) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 630

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

LCM(32, 630) = 10080

GCD(32, 630) = ( 32 x 630 ) / 10080

GCD(32, 630) = 20160 / 10080

GCD(32, 630) = 2

GCD of 288, 416, 630 is 2

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1. What is the GCD of 288, 416, 630?

GCD of 288, 416, 630 is 2

2. Where do I get the detailed procedure to find GCD of 288, 416, 630?

You can find a detailed procedure to find GCD of 288, 416, 630 on our page.

3. How to find GCD of 288, 416, 630 on a calculator?

You can find the GCD of 288, 416, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.