GCD of 228, 422, 98, 436 Calculator

Given Input numbers are 228, 422, 98, 436

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

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 228, 422, 98, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 422, 98, 436 is 2.

Therefore, GCD of numbers 228, 422, 98, 436 is 2

Given Input Data is 228, 422, 98, 436

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

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 436 is 2 x 2 x 109

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(228, 422) = 48108

GCD(228, 422) = ( 228 x 422 ) / 48108

GCD(228, 422) = 96216 / 48108

GCD(228, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 436

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

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

GCD(2, 436) = 872 / 436

GCD(2, 436) = 2

GCD of 228, 422, 98, 436 is 2

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1. What is the GCD of 228, 422, 98, 436?

GCD of 228, 422, 98, 436 is 2

2. Where do I get the detailed procedure to find GCD of 228, 422, 98, 436?

You can find a detailed procedure to find GCD of 228, 422, 98, 436 on our page.

3. How to find GCD of 228, 422, 98, 436 on a calculator?

You can find the GCD of 228, 422, 98, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.