GCD of 226, 142, 319, 348 Calculator

Given Input numbers are 226, 142, 319, 348

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

Divisors of 226

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

1, 2, 113, 226

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 226, 142, 319, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 142, 319, 348 is 1.

Therefore, GCD of numbers 226, 142, 319, 348 is 1

Given Input Data is 226, 142, 319, 348

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 142 is 2 x 71

Prime Factorization of 319 is 11 x 29

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(226, 142) = 16046

GCD(226, 142) = ( 226 x 142 ) / 16046

GCD(226, 142) = 32092 / 16046

GCD(226, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 319

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

LCM(2, 319) = 638

GCD(2, 319) = ( 2 x 319 ) / 638

GCD(2, 319) = 638 / 638

GCD(2, 319) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 226, 142, 319, 348 is 1

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1. What is the GCD of 226, 142, 319, 348?

GCD of 226, 142, 319, 348 is 1

2. Where do I get the detailed procedure to find GCD of 226, 142, 319, 348?

You can find a detailed procedure to find GCD of 226, 142, 319, 348 on our page.

3. How to find GCD of 226, 142, 319, 348 on a calculator?

You can find the GCD of 226, 142, 319, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.