GCD of 708, 604, 657, 225 Calculator

Given Input numbers are 708, 604, 657, 225

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 657

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

1, 3, 9, 73, 219, 657

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

Greatest Common Divisior

We found the divisors of 708, 604, 657, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 604, 657, 225 is 1.

Therefore, GCD of numbers 708, 604, 657, 225 is 1

Given Input Data is 708, 604, 657, 225

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 657 is 3 x 3 x 73

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

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(708, 604) = 106908

GCD(708, 604) = ( 708 x 604 ) / 106908

GCD(708, 604) = 427632 / 106908

GCD(708, 604) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 657

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

LCM(4, 657) = 2628

GCD(4, 657) = ( 4 x 657 ) / 2628

GCD(4, 657) = 2628 / 2628

GCD(4, 657) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 708, 604, 657, 225 is 1

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1. What is the GCD of 708, 604, 657, 225?

GCD of 708, 604, 657, 225 is 1

2. Where do I get the detailed procedure to find GCD of 708, 604, 657, 225?

You can find a detailed procedure to find GCD of 708, 604, 657, 225 on our page.

3. How to find GCD of 708, 604, 657, 225 on a calculator?

You can find the GCD of 708, 604, 657, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.