GCD of 226, 302, 715, 422 Calculator

Given Input numbers are 226, 302, 715, 422

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 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 422

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

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 226, 302, 715, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 302, 715, 422 is 1.

Therefore, GCD of numbers 226, 302, 715, 422 is 1

Given Input Data is 226, 302, 715, 422

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 302 is 2 x 151

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 422 is 2 x 211

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, 302) = 34126

GCD(226, 302) = ( 226 x 302 ) / 34126

GCD(226, 302) = 68252 / 34126

GCD(226, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 715

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

LCM(2, 715) = 1430

GCD(2, 715) = ( 2 x 715 ) / 1430

GCD(2, 715) = 1430 / 1430

GCD(2, 715) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 226, 302, 715, 422 is 1

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1. What is the GCD of 226, 302, 715, 422?

GCD of 226, 302, 715, 422 is 1

2. Where do I get the detailed procedure to find GCD of 226, 302, 715, 422?

You can find a detailed procedure to find GCD of 226, 302, 715, 422 on our page.

3. How to find GCD of 226, 302, 715, 422 on a calculator?

You can find the GCD of 226, 302, 715, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.