GCD of 303, 318, 54, 711 Calculator

Given Input numbers are 303, 318, 54, 711

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

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 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 303, 318, 54, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 318, 54, 711 is 3.

Therefore, GCD of numbers 303, 318, 54, 711 is 3

Given Input Data is 303, 318, 54, 711

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 318 is 2 x 3 x 53

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

Prime Factorization of 711 is 3 x 3 x 79

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(303, 318) = 32118

GCD(303, 318) = ( 303 x 318 ) / 32118

GCD(303, 318) = 96354 / 32118

GCD(303, 318) = 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 711

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

LCM(3, 711) = 711

GCD(3, 711) = ( 3 x 711 ) / 711

GCD(3, 711) = 2133 / 711

GCD(3, 711) = 3

GCD of 303, 318, 54, 711 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 569, 81, 950
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• GCD of 620, 803, 53, 742

1. What is the GCD of 303, 318, 54, 711?

GCD of 303, 318, 54, 711 is 3

2. Where do I get the detailed procedure to find GCD of 303, 318, 54, 711?

You can find a detailed procedure to find GCD of 303, 318, 54, 711 on our page.

3. How to find GCD of 303, 318, 54, 711 on a calculator?

You can find the GCD of 303, 318, 54, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.