GCD of 99, 113, 991, 725 Calculator

Given Input numbers are 99, 113, 991, 725

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 99, 113, 991, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 113, 991, 725 is 1.

Therefore, GCD of numbers 99, 113, 991, 725 is 1

Given Input Data is 99, 113, 991, 725

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 113 is 113

Prime Factorization of 991 is 991

Prime Factorization of 725 is 5 x 5 x 29

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(99, 113) = 11187

GCD(99, 113) = ( 99 x 113 ) / 11187

GCD(99, 113) = 11187 / 11187

GCD(99, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 99, 113, 991, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 317, 411, 558
• GCD of 71, 182, 970, 948
• GCD of 16, 772, 692, 438
• GCD of 42, 114, 468, 161
• GCD of 20, 370, 730, 135

1. What is the GCD of 99, 113, 991, 725?

GCD of 99, 113, 991, 725 is 1

2. Where do I get the detailed procedure to find GCD of 99, 113, 991, 725?

You can find a detailed procedure to find GCD of 99, 113, 991, 725 on our page.

3. How to find GCD of 99, 113, 991, 725 on a calculator?

You can find the GCD of 99, 113, 991, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.