GCD of 984, 909, 276 Calculator

Given Input numbers are 984, 909, 276

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 909

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

1, 3, 9, 101, 303, 909

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Greatest Common Divisior

We found the divisors of 984, 909, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 909, 276 is 3.

Therefore, GCD of numbers 984, 909, 276 is 3

Given Input Data is 984, 909, 276

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 276 is 2 x 2 x 3 x 23

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(984, 909) = 298152

GCD(984, 909) = ( 984 x 909 ) / 298152

GCD(984, 909) = 894456 / 298152

GCD(984, 909) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 276

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

LCM(3, 276) = 276

GCD(3, 276) = ( 3 x 276 ) / 276

GCD(3, 276) = 828 / 276

GCD(3, 276) = 3

GCD of 984, 909, 276 is 3

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1. What is the GCD of 984, 909, 276?

GCD of 984, 909, 276 is 3

2. Where do I get the detailed procedure to find GCD of 984, 909, 276?

You can find a detailed procedure to find GCD of 984, 909, 276 on our page.

3. How to find GCD of 984, 909, 276 on a calculator?

You can find the GCD of 984, 909, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.