GCD of 717, 900, 97, 187 Calculator

Given Input numbers are 717, 900, 97, 187

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

Divisors of 717

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

1, 3, 239, 717

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 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 717, 900, 97, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 900, 97, 187 is 1.

Therefore, GCD of numbers 717, 900, 97, 187 is 1

Given Input Data is 717, 900, 97, 187

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

Prime Factorization of 717 is 3 x 239

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

Prime Factorization of 97 is 97

Prime Factorization of 187 is 11 x 17

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(717, 900) = 215100

GCD(717, 900) = ( 717 x 900 ) / 215100

GCD(717, 900) = 645300 / 215100

GCD(717, 900) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 97

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

LCM(3, 97) = 291

GCD(3, 97) = ( 3 x 97 ) / 291

GCD(3, 97) = 291 / 291

GCD(3, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 1

GCD of 717, 900, 97, 187 is 1

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1. What is the GCD of 717, 900, 97, 187?

GCD of 717, 900, 97, 187 is 1

2. Where do I get the detailed procedure to find GCD of 717, 900, 97, 187?

You can find a detailed procedure to find GCD of 717, 900, 97, 187 on our page.

3. How to find GCD of 717, 900, 97, 187 on a calculator?

You can find the GCD of 717, 900, 97, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.