GCD of 927, 120, 288 Calculator

Given Input numbers are 927, 120, 288

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

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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

Greatest Common Divisior

We found the divisors of 927, 120, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 120, 288 is 3.

Therefore, GCD of numbers 927, 120, 288 is 3

Given Input Data is 927, 120, 288

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

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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

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(927, 120) = 37080

GCD(927, 120) = ( 927 x 120 ) / 37080

GCD(927, 120) = 111240 / 37080

GCD(927, 120) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 288

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

LCM(3, 288) = 288

GCD(3, 288) = ( 3 x 288 ) / 288

GCD(3, 288) = 864 / 288

GCD(3, 288) = 3

GCD of 927, 120, 288 is 3

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• GCD of 734, 726, 777
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1. What is the GCD of 927, 120, 288?

GCD of 927, 120, 288 is 3

2. Where do I get the detailed procedure to find GCD of 927, 120, 288?

You can find a detailed procedure to find GCD of 927, 120, 288 on our page.

3. How to find GCD of 927, 120, 288 on a calculator?

You can find the GCD of 927, 120, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.