GCD of 225, 173, 692, 229 Calculator

Given Input numbers are 225, 173, 692, 229

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 225, 173, 692, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 173, 692, 229 is 1.

Therefore, GCD of numbers 225, 173, 692, 229 is 1

Given Input Data is 225, 173, 692, 229

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 173 is 173

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 229 is 229

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(225, 173) = 38925

GCD(225, 173) = ( 225 x 173 ) / 38925

GCD(225, 173) = 38925 / 38925

GCD(225, 173) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 225, 173, 692, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 459, 494, 588
• GCD of 394, 966, 409, 187
• GCD of 949, 808, 266, 229
• GCD of 980, 245, 522, 701
• GCD of 780, 308, 809, 235

1. What is the GCD of 225, 173, 692, 229?

GCD of 225, 173, 692, 229 is 1

2. Where do I get the detailed procedure to find GCD of 225, 173, 692, 229?

You can find a detailed procedure to find GCD of 225, 173, 692, 229 on our page.

3. How to find GCD of 225, 173, 692, 229 on a calculator?

You can find the GCD of 225, 173, 692, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.