GCD of 226, 149, 428 Calculator

Given Input numbers are 226, 149, 428

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 428

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

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 226, 149, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 149, 428 is 1.

Therefore, GCD of numbers 226, 149, 428 is 1

Given Input Data is 226, 149, 428

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 149 is 149

Prime Factorization of 428 is 2 x 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

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(226, 149) = 33674

GCD(226, 149) = ( 226 x 149 ) / 33674

GCD(226, 149) = 33674 / 33674

GCD(226, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 226, 149, 428 is 1

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1. What is the GCD of 226, 149, 428?

GCD of 226, 149, 428 is 1

2. Where do I get the detailed procedure to find GCD of 226, 149, 428?

You can find a detailed procedure to find GCD of 226, 149, 428 on our page.

3. How to find GCD of 226, 149, 428 on a calculator?

You can find the GCD of 226, 149, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.