GCD of 993, 825, 717, 125 Calculator

Given Input numbers are 993, 825, 717, 125

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 717

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

1, 3, 239, 717

Divisors of 125

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

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 993, 825, 717, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 825, 717, 125 is 1.

Therefore, GCD of numbers 993, 825, 717, 125 is 1

Given Input Data is 993, 825, 717, 125

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 717 is 3 x 239

Prime Factorization of 125 is 5 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(993, 825) = 273075

GCD(993, 825) = ( 993 x 825 ) / 273075

GCD(993, 825) = 819225 / 273075

GCD(993, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 717

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

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

GCD(3, 717) = 2151 / 717

GCD(3, 717) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 125

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

LCM(3, 125) = 375

GCD(3, 125) = ( 3 x 125 ) / 375

GCD(3, 125) = 375 / 375

GCD(3, 125) = 1

GCD of 993, 825, 717, 125 is 1

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• GCD of 617, 544, 317, 341
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• GCD of 724, 371, 587, 478

1. What is the GCD of 993, 825, 717, 125?

GCD of 993, 825, 717, 125 is 1

2. Where do I get the detailed procedure to find GCD of 993, 825, 717, 125?

You can find a detailed procedure to find GCD of 993, 825, 717, 125 on our page.

3. How to find GCD of 993, 825, 717, 125 on a calculator?

You can find the GCD of 993, 825, 717, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.