GCD of 344, 105, 267, 228 Calculator

Given Input numbers are 344, 105, 267, 228

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

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 344, 105, 267, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 105, 267, 228 is 1.

Therefore, GCD of numbers 344, 105, 267, 228 is 1

Given Input Data is 344, 105, 267, 228

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 267 is 3 x 89

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(344, 105) = 36120

GCD(344, 105) = ( 344 x 105 ) / 36120

GCD(344, 105) = 36120 / 36120

GCD(344, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 267

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

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

GCD(1, 267) = 267 / 267

GCD(1, 267) = 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 344, 105, 267, 228 is 1

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1. What is the GCD of 344, 105, 267, 228?

GCD of 344, 105, 267, 228 is 1

2. Where do I get the detailed procedure to find GCD of 344, 105, 267, 228?

You can find a detailed procedure to find GCD of 344, 105, 267, 228 on our page.

3. How to find GCD of 344, 105, 267, 228 on a calculator?

You can find the GCD of 344, 105, 267, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.