GCD of 99, 712, 185, 687 Calculator

Given Input numbers are 99, 712, 185, 687

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 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 99, 712, 185, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 712, 185, 687 is 1.

Therefore, GCD of numbers 99, 712, 185, 687 is 1

Given Input Data is 99, 712, 185, 687

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 712 is 2 x 2 x 2 x 89

Prime Factorization of 185 is 5 x 37

Prime Factorization of 687 is 3 x 229

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, 712) = 70488

GCD(99, 712) = ( 99 x 712 ) / 70488

GCD(99, 712) = 70488 / 70488

GCD(99, 712) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 99, 712, 185, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 617, 561, 467
• GCD of 72, 116, 580, 924
• GCD of 40, 372, 764, 562
• GCD of 40, 116, 177, 266
• GCD of 92, 527, 220, 943

1. What is the GCD of 99, 712, 185, 687?

GCD of 99, 712, 185, 687 is 1

2. Where do I get the detailed procedure to find GCD of 99, 712, 185, 687?

You can find a detailed procedure to find GCD of 99, 712, 185, 687 on our page.

3. How to find GCD of 99, 712, 185, 687 on a calculator?

You can find the GCD of 99, 712, 185, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.