GCD of 428, 746, 228 Calculator

Given Input numbers are 428, 746, 228

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

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 428, 746, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 746, 228 is 2.

Therefore, GCD of numbers 428, 746, 228 is 2

Given Input Data is 428, 746, 228

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 746 is 2 x 373

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(428, 746) = 159644

GCD(428, 746) = ( 428 x 746 ) / 159644

GCD(428, 746) = 319288 / 159644

GCD(428, 746) = 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 428, 746, 228 is 2

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1. What is the GCD of 428, 746, 228?

GCD of 428, 746, 228 is 2

2. Where do I get the detailed procedure to find GCD of 428, 746, 228?

You can find a detailed procedure to find GCD of 428, 746, 228 on our page.

3. How to find GCD of 428, 746, 228 on a calculator?

You can find the GCD of 428, 746, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.