GCD of 495, 792, 486, 309 Calculator

Given Input numbers are 495, 792, 486, 309

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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 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 495, 792, 486, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 792, 486, 309 is 3.

Therefore, GCD of numbers 495, 792, 486, 309 is 3

Given Input Data is 495, 792, 486, 309

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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

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(495, 792) = 3960

GCD(495, 792) = ( 495 x 792 ) / 3960

GCD(495, 792) = 392040 / 3960

GCD(495, 792) = 99

Step2:

Here we consider the GCD from the above i.e. 99 as first number and the next as 486

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

LCM(99, 486) = 5346

GCD(99, 486) = ( 99 x 486 ) / 5346

GCD(99, 486) = 48114 / 5346

GCD(99, 486) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 309

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

LCM(9, 309) = 927

GCD(9, 309) = ( 9 x 309 ) / 927

GCD(9, 309) = 2781 / 927

GCD(9, 309) = 3

GCD of 495, 792, 486, 309 is 3

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1. What is the GCD of 495, 792, 486, 309?

GCD of 495, 792, 486, 309 is 3

2. Where do I get the detailed procedure to find GCD of 495, 792, 486, 309?

You can find a detailed procedure to find GCD of 495, 792, 486, 309 on our page.

3. How to find GCD of 495, 792, 486, 309 on a calculator?

You can find the GCD of 495, 792, 486, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.