GCD of 486, 909, 768 Calculator

Given Input numbers are 486, 909, 768

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 486, 909, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 909, 768 is 3.

Therefore, GCD of numbers 486, 909, 768 is 3

Given Input Data is 486, 909, 768

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 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(486, 909) = 49086

GCD(486, 909) = ( 486 x 909 ) / 49086

GCD(486, 909) = 441774 / 49086

GCD(486, 909) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 768

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

LCM(9, 768) = 2304

GCD(9, 768) = ( 9 x 768 ) / 2304

GCD(9, 768) = 6912 / 2304

GCD(9, 768) = 3

GCD of 486, 909, 768 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 915, 309
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• GCD of 162, 161, 903

1. What is the GCD of 486, 909, 768?

GCD of 486, 909, 768 is 3

2. Where do I get the detailed procedure to find GCD of 486, 909, 768?

You can find a detailed procedure to find GCD of 486, 909, 768 on our page.

3. How to find GCD of 486, 909, 768 on a calculator?

You can find the GCD of 486, 909, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.