GCD of 231, 288, 78 Calculator

Given Input numbers are 231, 288, 78

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

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 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Greatest Common Divisior

We found the divisors of 231, 288, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 288, 78 is 3.

Therefore, GCD of numbers 231, 288, 78 is 3

Given Input Data is 231, 288, 78

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

Prime Factorization of 231 is 3 x 7 x 11

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

Prime Factorization of 78 is 2 x 3 x 13

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(231, 288) = 22176

GCD(231, 288) = ( 231 x 288 ) / 22176

GCD(231, 288) = 66528 / 22176

GCD(231, 288) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 78

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

LCM(3, 78) = 78

GCD(3, 78) = ( 3 x 78 ) / 78

GCD(3, 78) = 234 / 78

GCD(3, 78) = 3

GCD of 231, 288, 78 is 3

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• GCD of 462, 840, 21
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1. What is the GCD of 231, 288, 78?

GCD of 231, 288, 78 is 3

2. Where do I get the detailed procedure to find GCD of 231, 288, 78?

You can find a detailed procedure to find GCD of 231, 288, 78 on our page.

3. How to find GCD of 231, 288, 78 on a calculator?

You can find the GCD of 231, 288, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.