GCD of 225, 668, 830, 284 Calculator

Given Input numbers are 225, 668, 830, 284

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 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 225, 668, 830, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 668, 830, 284 is 1.

Therefore, GCD of numbers 225, 668, 830, 284 is 1

Given Input Data is 225, 668, 830, 284

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 668 is 2 x 2 x 167

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 284 is 2 x 2 x 71

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, 668) = 150300

GCD(225, 668) = ( 225 x 668 ) / 150300

GCD(225, 668) = 150300 / 150300

GCD(225, 668) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 225, 668, 830, 284 is 1

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1. What is the GCD of 225, 668, 830, 284?

GCD of 225, 668, 830, 284 is 1

2. Where do I get the detailed procedure to find GCD of 225, 668, 830, 284?

You can find a detailed procedure to find GCD of 225, 668, 830, 284 on our page.

3. How to find GCD of 225, 668, 830, 284 on a calculator?

You can find the GCD of 225, 668, 830, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.