GCD of 813, 117, 54, 306 Calculator

Given Input numbers are 813, 117, 54, 306

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

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 813, 117, 54, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 117, 54, 306 is 3.

Therefore, GCD of numbers 813, 117, 54, 306 is 3

Given Input Data is 813, 117, 54, 306

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

Prime Factorization of 813 is 3 x 271

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 306 is 2 x 3 x 3 x 17

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(813, 117) = 31707

GCD(813, 117) = ( 813 x 117 ) / 31707

GCD(813, 117) = 95121 / 31707

GCD(813, 117) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 54

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

LCM(3, 54) = 54

GCD(3, 54) = ( 3 x 54 ) / 54

GCD(3, 54) = 162 / 54

GCD(3, 54) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 306

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

LCM(3, 306) = 306

GCD(3, 306) = ( 3 x 306 ) / 306

GCD(3, 306) = 918 / 306

GCD(3, 306) = 3

GCD of 813, 117, 54, 306 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 553, 96, 852
• GCD of 197, 279, 41, 297
• GCD of 748, 766, 26, 210
• GCD of 926, 167, 70, 294
• GCD of 930, 490, 40, 810

1. What is the GCD of 813, 117, 54, 306?

GCD of 813, 117, 54, 306 is 3

2. Where do I get the detailed procedure to find GCD of 813, 117, 54, 306?

You can find a detailed procedure to find GCD of 813, 117, 54, 306 on our page.

3. How to find GCD of 813, 117, 54, 306 on a calculator?

You can find the GCD of 813, 117, 54, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.