GCD of 717, 976, 100, 225 Calculator

Given Input numbers are 717, 976, 100, 225

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 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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

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

Greatest Common Divisior

We found the divisors of 717, 976, 100, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 976, 100, 225 is 1.

Therefore, GCD of numbers 717, 976, 100, 225 is 1

Given Input Data is 717, 976, 100, 225

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 225 is 3 x 3 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, 976) = 699792

GCD(717, 976) = ( 717 x 976 ) / 699792

GCD(717, 976) = 699792 / 699792

GCD(717, 976) = 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

Step3:

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

GCD of 717, 976, 100, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 894, 799, 377
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• GCD of 799, 239, 921, 994
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1. What is the GCD of 717, 976, 100, 225?

GCD of 717, 976, 100, 225 is 1

2. Where do I get the detailed procedure to find GCD of 717, 976, 100, 225?

You can find a detailed procedure to find GCD of 717, 976, 100, 225 on our page.

3. How to find GCD of 717, 976, 100, 225 on a calculator?

You can find the GCD of 717, 976, 100, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.