GCD of 717, 584, 100 Calculator

Given Input numbers are 717, 584, 100

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 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 717, 584, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 584, 100 is 1.

Therefore, GCD of numbers 717, 584, 100 is 1

Given Input Data is 717, 584, 100

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 100 is 2 x 2 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(717, 584) = 418728

GCD(717, 584) = ( 717 x 584 ) / 418728

GCD(717, 584) = 418728 / 418728

GCD(717, 584) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 717, 584, 100 is 1

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1. What is the GCD of 717, 584, 100?

GCD of 717, 584, 100 is 1

2. Where do I get the detailed procedure to find GCD of 717, 584, 100?

You can find a detailed procedure to find GCD of 717, 584, 100 on our page.

3. How to find GCD of 717, 584, 100 on a calculator?

You can find the GCD of 717, 584, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.