GCD of 498, 353, 266, 228 Calculator

Given Input numbers are 498, 353, 266, 228

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

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 498, 353, 266, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 353, 266, 228 is 1.

Therefore, GCD of numbers 498, 353, 266, 228 is 1

Given Input Data is 498, 353, 266, 228

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 353 is 353

Prime Factorization of 266 is 2 x 7 x 19

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

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(498, 353) = 175794

GCD(498, 353) = ( 498 x 353 ) / 175794

GCD(498, 353) = 175794 / 175794

GCD(498, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

GCD of 498, 353, 266, 228 is 1

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1. What is the GCD of 498, 353, 266, 228?

GCD of 498, 353, 266, 228 is 1

2. Where do I get the detailed procedure to find GCD of 498, 353, 266, 228?

You can find a detailed procedure to find GCD of 498, 353, 266, 228 on our page.

3. How to find GCD of 498, 353, 266, 228 on a calculator?

You can find the GCD of 498, 353, 266, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.