GCD of 900, 683, 125, 717 Calculator

Given Input numbers are 900, 683, 125, 717

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

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 900, 683, 125, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 683, 125, 717 is 1.

Therefore, GCD of numbers 900, 683, 125, 717 is 1

Given Input Data is 900, 683, 125, 717

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 683 is 683

Prime Factorization of 125 is 5 x 5 x 5

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(900, 683) = 614700

GCD(900, 683) = ( 900 x 683 ) / 614700

GCD(900, 683) = 614700 / 614700

GCD(900, 683) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 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 900, 683, 125, 717 is 1

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1. What is the GCD of 900, 683, 125, 717?

GCD of 900, 683, 125, 717 is 1

2. Where do I get the detailed procedure to find GCD of 900, 683, 125, 717?

You can find a detailed procedure to find GCD of 900, 683, 125, 717 on our page.

3. How to find GCD of 900, 683, 125, 717 on a calculator?

You can find the GCD of 900, 683, 125, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.