GCD of 226, 648, 662, 433 Calculator

Given Input numbers are 226, 648, 662, 433

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 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Greatest Common Divisior

We found the divisors of 226, 648, 662, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 648, 662, 433 is 1.

Therefore, GCD of numbers 226, 648, 662, 433 is 1

Given Input Data is 226, 648, 662, 433

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 662 is 2 x 331

Prime Factorization of 433 is 433

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, 648) = 73224

GCD(226, 648) = ( 226 x 648 ) / 73224

GCD(226, 648) = 146448 / 73224

GCD(226, 648) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 662

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

LCM(2, 662) = 662

GCD(2, 662) = ( 2 x 662 ) / 662

GCD(2, 662) = 1324 / 662

GCD(2, 662) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 433

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

LCM(2, 433) = 866

GCD(2, 433) = ( 2 x 433 ) / 866

GCD(2, 433) = 866 / 866

GCD(2, 433) = 1

GCD of 226, 648, 662, 433 is 1

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1. What is the GCD of 226, 648, 662, 433?

GCD of 226, 648, 662, 433 is 1

2. Where do I get the detailed procedure to find GCD of 226, 648, 662, 433?

You can find a detailed procedure to find GCD of 226, 648, 662, 433 on our page.

3. How to find GCD of 226, 648, 662, 433 on a calculator?

You can find the GCD of 226, 648, 662, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.