GCD of 230, 177, 656, 648 Calculator

Given Input numbers are 230, 177, 656, 648

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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

Greatest Common Divisior

We found the divisors of 230, 177, 656, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 177, 656, 648 is 1.

Therefore, GCD of numbers 230, 177, 656, 648 is 1

Given Input Data is 230, 177, 656, 648

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 177 is 3 x 59

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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

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(230, 177) = 40710

GCD(230, 177) = ( 230 x 177 ) / 40710

GCD(230, 177) = 40710 / 40710

GCD(230, 177) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 230, 177, 656, 648 is 1

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1. What is the GCD of 230, 177, 656, 648?

GCD of 230, 177, 656, 648 is 1

2. Where do I get the detailed procedure to find GCD of 230, 177, 656, 648?

You can find a detailed procedure to find GCD of 230, 177, 656, 648 on our page.

3. How to find GCD of 230, 177, 656, 648 on a calculator?

You can find the GCD of 230, 177, 656, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.