GCD of 996, 638, 823, 502 Calculator

Given Input numbers are 996, 638, 823, 502

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 996, 638, 823, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 638, 823, 502 is 1.

Therefore, GCD of numbers 996, 638, 823, 502 is 1

Given Input Data is 996, 638, 823, 502

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 823 is 823

Prime Factorization of 502 is 2 x 251

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(996, 638) = 317724

GCD(996, 638) = ( 996 x 638 ) / 317724

GCD(996, 638) = 635448 / 317724

GCD(996, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 823

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

LCM(2, 823) = 1646

GCD(2, 823) = ( 2 x 823 ) / 1646

GCD(2, 823) = 1646 / 1646

GCD(2, 823) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 996, 638, 823, 502 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 130, 224, 568
• GCD of 935, 759, 259, 143
• GCD of 569, 524, 467, 751
• GCD of 367, 178, 279, 922
• GCD of 636, 956, 769, 369

1. What is the GCD of 996, 638, 823, 502?

GCD of 996, 638, 823, 502 is 1

2. Where do I get the detailed procedure to find GCD of 996, 638, 823, 502?

You can find a detailed procedure to find GCD of 996, 638, 823, 502 on our page.

3. How to find GCD of 996, 638, 823, 502 on a calculator?

You can find the GCD of 996, 638, 823, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.