GCD of 492, 575, 425, 717 Calculator

Given Input numbers are 492, 575, 425, 717

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 717

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

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 492, 575, 425, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 575, 425, 717 is 1.

Therefore, GCD of numbers 492, 575, 425, 717 is 1

Given Input Data is 492, 575, 425, 717

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 717 is 3 x 239

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(492, 575) = 282900

GCD(492, 575) = ( 492 x 575 ) / 282900

GCD(492, 575) = 282900 / 282900

GCD(492, 575) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 425

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

LCM(1, 425) = 425

GCD(1, 425) = ( 1 x 425 ) / 425

GCD(1, 425) = 425 / 425

GCD(1, 425) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 492, 575, 425, 717 is 1

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1. What is the GCD of 492, 575, 425, 717?

GCD of 492, 575, 425, 717 is 1

2. Where do I get the detailed procedure to find GCD of 492, 575, 425, 717?

You can find a detailed procedure to find GCD of 492, 575, 425, 717 on our page.

3. How to find GCD of 492, 575, 425, 717 on a calculator?

You can find the GCD of 492, 575, 425, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.