GCD of 822, 998, 312, 687 Calculator

Given Input numbers are 822, 998, 312, 687

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 822, 998, 312, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 998, 312, 687 is 1.

Therefore, GCD of numbers 822, 998, 312, 687 is 1

Given Input Data is 822, 998, 312, 687

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 998 is 2 x 499

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(822, 998) = 410178

GCD(822, 998) = ( 822 x 998 ) / 410178

GCD(822, 998) = 820356 / 410178

GCD(822, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 312

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

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

GCD(2, 312) = 624 / 312

GCD(2, 312) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 687

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

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

GCD(2, 687) = 1374 / 1374

GCD(2, 687) = 1

GCD of 822, 998, 312, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 194, 450, 936
• GCD of 872, 657, 334, 941
• GCD of 981, 215, 175, 360
• GCD of 439, 533, 835, 619
• GCD of 344, 619, 941, 876

1. What is the GCD of 822, 998, 312, 687?

GCD of 822, 998, 312, 687 is 1

2. Where do I get the detailed procedure to find GCD of 822, 998, 312, 687?

You can find a detailed procedure to find GCD of 822, 998, 312, 687 on our page.

3. How to find GCD of 822, 998, 312, 687 on a calculator?

You can find the GCD of 822, 998, 312, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.