GCD of 226, 825, 108, 657 Calculator

Given Input numbers are 226, 825, 108, 657

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 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 226, 825, 108, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 825, 108, 657 is 1.

Therefore, GCD of numbers 226, 825, 108, 657 is 1

Given Input Data is 226, 825, 108, 657

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 657 is 3 x 3 x 73

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, 825) = 186450

GCD(226, 825) = ( 226 x 825 ) / 186450

GCD(226, 825) = 186450 / 186450

GCD(226, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 226, 825, 108, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 660, 152, 209
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1. What is the GCD of 226, 825, 108, 657?

GCD of 226, 825, 108, 657 is 1

2. Where do I get the detailed procedure to find GCD of 226, 825, 108, 657?

You can find a detailed procedure to find GCD of 226, 825, 108, 657 on our page.

3. How to find GCD of 226, 825, 108, 657 on a calculator?

You can find the GCD of 226, 825, 108, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.