GCD of 99, 493, 687, 862 Calculator

Given Input numbers are 99, 493, 687, 862

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 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 687

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

1, 3, 229, 687

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Greatest Common Divisior

We found the divisors of 99, 493, 687, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 493, 687, 862 is 1.

Therefore, GCD of numbers 99, 493, 687, 862 is 1

Given Input Data is 99, 493, 687, 862

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 493 is 17 x 29

Prime Factorization of 687 is 3 x 229

Prime Factorization of 862 is 2 x 431

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, 493) = 48807

GCD(99, 493) = ( 99 x 493 ) / 48807

GCD(99, 493) = 48807 / 48807

GCD(99, 493) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 862

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

LCM(1, 862) = 862

GCD(1, 862) = ( 1 x 862 ) / 862

GCD(1, 862) = 862 / 862

GCD(1, 862) = 1

GCD of 99, 493, 687, 862 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 586, 694, 695
• GCD of 73, 621, 101, 886
• GCD of 29, 940, 241, 701
• GCD of 92, 298, 422, 576
• GCD of 58, 987, 361, 574

1. What is the GCD of 99, 493, 687, 862?

GCD of 99, 493, 687, 862 is 1

2. Where do I get the detailed procedure to find GCD of 99, 493, 687, 862?

You can find a detailed procedure to find GCD of 99, 493, 687, 862 on our page.

3. How to find GCD of 99, 493, 687, 862 on a calculator?

You can find the GCD of 99, 493, 687, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.