GCD of 96, 789, 756, 309 Calculator

Given Input numbers are 96, 789, 756, 309

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 96, 789, 756, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 789, 756, 309 is 3.

Therefore, GCD of numbers 96, 789, 756, 309 is 3

Given Input Data is 96, 789, 756, 309

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 789 is 3 x 263

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 309 is 3 x 103

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(96, 789) = 25248

GCD(96, 789) = ( 96 x 789 ) / 25248

GCD(96, 789) = 75744 / 25248

GCD(96, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 756

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

LCM(3, 756) = 756

GCD(3, 756) = ( 3 x 756 ) / 756

GCD(3, 756) = 2268 / 756

GCD(3, 756) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 309

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

LCM(3, 309) = 309

GCD(3, 309) = ( 3 x 309 ) / 309

GCD(3, 309) = 927 / 309

GCD(3, 309) = 3

GCD of 96, 789, 756, 309 is 3

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• GCD of 85, 872, 699, 469
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1. What is the GCD of 96, 789, 756, 309?

GCD of 96, 789, 756, 309 is 3

2. Where do I get the detailed procedure to find GCD of 96, 789, 756, 309?

You can find a detailed procedure to find GCD of 96, 789, 756, 309 on our page.

3. How to find GCD of 96, 789, 756, 309 on a calculator?

You can find the GCD of 96, 789, 756, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.