GCD of 288, 699, 462 Calculator

Given Input numbers are 288, 699, 462

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 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 288, 699, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 699, 462 is 3.

Therefore, GCD of numbers 288, 699, 462 is 3

Given Input Data is 288, 699, 462

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 699 is 3 x 233

Prime Factorization of 462 is 2 x 3 x 7 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 699) = 67104

GCD(288, 699) = ( 288 x 699 ) / 67104

GCD(288, 699) = 201312 / 67104

GCD(288, 699) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 462

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

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

GCD(3, 462) = 1386 / 462

GCD(3, 462) = 3

GCD of 288, 699, 462 is 3

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1. What is the GCD of 288, 699, 462?

GCD of 288, 699, 462 is 3

2. Where do I get the detailed procedure to find GCD of 288, 699, 462?

You can find a detailed procedure to find GCD of 288, 699, 462 on our page.

3. How to find GCD of 288, 699, 462 on a calculator?

You can find the GCD of 288, 699, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.