GCD of 810, 393, 27, 777 Calculator

Given Input numbers are 810, 393, 27, 777

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Greatest Common Divisior

We found the divisors of 810, 393, 27, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 393, 27, 777 is 3.

Therefore, GCD of numbers 810, 393, 27, 777 is 3

Given Input Data is 810, 393, 27, 777

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 393 is 3 x 131

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 777 is 3 x 7 x 37

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(810, 393) = 106110

GCD(810, 393) = ( 810 x 393 ) / 106110

GCD(810, 393) = 318330 / 106110

GCD(810, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 27

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

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

GCD(3, 27) = 81 / 27

GCD(3, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 777

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

LCM(3, 777) = 777

GCD(3, 777) = ( 3 x 777 ) / 777

GCD(3, 777) = 2331 / 777

GCD(3, 777) = 3

GCD of 810, 393, 27, 777 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 391, 15, 965
• GCD of 207, 591, 39, 594
• GCD of 399, 636, 20, 146
• GCD of 405, 785, 23, 230
• GCD of 977, 391, 23, 359

1. What is the GCD of 810, 393, 27, 777?

GCD of 810, 393, 27, 777 is 3

2. Where do I get the detailed procedure to find GCD of 810, 393, 27, 777?

You can find a detailed procedure to find GCD of 810, 393, 27, 777 on our page.

3. How to find GCD of 810, 393, 27, 777 on a calculator?

You can find the GCD of 810, 393, 27, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.