GCD of 298, 149, 908, 226 Calculator

Given Input numbers are 298, 149, 908, 226

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 149

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

1, 149

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 226

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

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 298, 149, 908, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 149, 908, 226 is 1.

Therefore, GCD of numbers 298, 149, 908, 226 is 1

Given Input Data is 298, 149, 908, 226

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 149 is 149

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 226 is 2 x 113

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(298, 149) = 298

GCD(298, 149) = ( 298 x 149 ) / 298

GCD(298, 149) = 44402 / 298

GCD(298, 149) = 149

Step2:

Here we consider the GCD from the above i.e. 149 as first number and the next as 908

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

LCM(149, 908) = 135292

GCD(149, 908) = ( 149 x 908 ) / 135292

GCD(149, 908) = 135292 / 135292

GCD(149, 908) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 298, 149, 908, 226 is 1

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1. What is the GCD of 298, 149, 908, 226?

GCD of 298, 149, 908, 226 is 1

2. Where do I get the detailed procedure to find GCD of 298, 149, 908, 226?

You can find a detailed procedure to find GCD of 298, 149, 908, 226 on our page.

3. How to find GCD of 298, 149, 908, 226 on a calculator?

You can find the GCD of 298, 149, 908, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.