GCD of 392, 717, 225, 587 Calculator

Given Input numbers are 392, 717, 225, 587

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

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 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Greatest Common Divisior

We found the divisors of 392, 717, 225, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 717, 225, 587 is 1.

Therefore, GCD of numbers 392, 717, 225, 587 is 1

Given Input Data is 392, 717, 225, 587

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 717 is 3 x 239

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

Prime Factorization of 587 is 587

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(392, 717) = 281064

GCD(392, 717) = ( 392 x 717 ) / 281064

GCD(392, 717) = 281064 / 281064

GCD(392, 717) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 587

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

LCM(1, 587) = 587

GCD(1, 587) = ( 1 x 587 ) / 587

GCD(1, 587) = 587 / 587

GCD(1, 587) = 1

GCD of 392, 717, 225, 587 is 1

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1. What is the GCD of 392, 717, 225, 587?

GCD of 392, 717, 225, 587 is 1

2. Where do I get the detailed procedure to find GCD of 392, 717, 225, 587?

You can find a detailed procedure to find GCD of 392, 717, 225, 587 on our page.

3. How to find GCD of 392, 717, 225, 587 on a calculator?

You can find the GCD of 392, 717, 225, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.