GCD of 224, 342, 879, 226 Calculator

Given Input numbers are 224, 342, 879, 226

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

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 224, 342, 879, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 342, 879, 226 is 1.

Therefore, GCD of numbers 224, 342, 879, 226 is 1

Given Input Data is 224, 342, 879, 226

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 879 is 3 x 293

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(224, 342) = 38304

GCD(224, 342) = ( 224 x 342 ) / 38304

GCD(224, 342) = 76608 / 38304

GCD(224, 342) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 879

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

LCM(2, 879) = 1758

GCD(2, 879) = ( 2 x 879 ) / 1758

GCD(2, 879) = 1758 / 1758

GCD(2, 879) = 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 224, 342, 879, 226 is 1

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1. What is the GCD of 224, 342, 879, 226?

GCD of 224, 342, 879, 226 is 1

2. Where do I get the detailed procedure to find GCD of 224, 342, 879, 226?

You can find a detailed procedure to find GCD of 224, 342, 879, 226 on our page.

3. How to find GCD of 224, 342, 879, 226 on a calculator?

You can find the GCD of 224, 342, 879, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.