GCD of 642, 225, 819, 235 Calculator

Given Input numbers are 642, 225, 819, 235

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

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 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 642, 225, 819, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 225, 819, 235 is 1.

Therefore, GCD of numbers 642, 225, 819, 235 is 1

Given Input Data is 642, 225, 819, 235

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

Prime Factorization of 642 is 2 x 3 x 107

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 235 is 5 x 47

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(642, 225) = 48150

GCD(642, 225) = ( 642 x 225 ) / 48150

GCD(642, 225) = 144450 / 48150

GCD(642, 225) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 819

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

LCM(3, 819) = 819

GCD(3, 819) = ( 3 x 819 ) / 819

GCD(3, 819) = 2457 / 819

GCD(3, 819) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 235

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

LCM(3, 235) = 705

GCD(3, 235) = ( 3 x 235 ) / 705

GCD(3, 235) = 705 / 705

GCD(3, 235) = 1

GCD of 642, 225, 819, 235 is 1

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1. What is the GCD of 642, 225, 819, 235?

GCD of 642, 225, 819, 235 is 1

2. Where do I get the detailed procedure to find GCD of 642, 225, 819, 235?

You can find a detailed procedure to find GCD of 642, 225, 819, 235 on our page.

3. How to find GCD of 642, 225, 819, 235 on a calculator?

You can find the GCD of 642, 225, 819, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.