GCD of 711, 453, 228 Calculator

Given Input numbers are 711, 453, 228

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

Divisors of 711

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

1, 3, 9, 79, 237, 711

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 711, 453, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 453, 228 is 3.

Therefore, GCD of numbers 711, 453, 228 is 3

Given Input Data is 711, 453, 228

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

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 453 is 3 x 151

Prime Factorization of 228 is 2 x 2 x 3 x 19

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(711, 453) = 107361

GCD(711, 453) = ( 711 x 453 ) / 107361

GCD(711, 453) = 322083 / 107361

GCD(711, 453) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 228

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

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

GCD(3, 228) = 684 / 228

GCD(3, 228) = 3

GCD of 711, 453, 228 is 3

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1. What is the GCD of 711, 453, 228?

GCD of 711, 453, 228 is 3

2. Where do I get the detailed procedure to find GCD of 711, 453, 228?

You can find a detailed procedure to find GCD of 711, 453, 228 on our page.

3. How to find GCD of 711, 453, 228 on a calculator?

You can find the GCD of 711, 453, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.