GCD of 714, 358, 228 Calculator

Given Input numbers are 714, 358, 228

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

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 714, 358, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 358, 228 is 2.

Therefore, GCD of numbers 714, 358, 228 is 2

Given Input Data is 714, 358, 228

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 358 is 2 x 179

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(714, 358) = 127806

GCD(714, 358) = ( 714 x 358 ) / 127806

GCD(714, 358) = 255612 / 127806

GCD(714, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 228

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

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

GCD(2, 228) = 456 / 228

GCD(2, 228) = 2

GCD of 714, 358, 228 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 107, 533
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1. What is the GCD of 714, 358, 228?

GCD of 714, 358, 228 is 2

2. Where do I get the detailed procedure to find GCD of 714, 358, 228?

You can find a detailed procedure to find GCD of 714, 358, 228 on our page.

3. How to find GCD of 714, 358, 228 on a calculator?

You can find the GCD of 714, 358, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.