GCD of 502, 378, 99, 687 Calculator

Given Input numbers are 502, 378, 99, 687

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

Divisors of 502

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

1, 2, 251, 502

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 99

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

1, 3, 9, 11, 33, 99

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 502, 378, 99, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 378, 99, 687 is 1.

Therefore, GCD of numbers 502, 378, 99, 687 is 1

Given Input Data is 502, 378, 99, 687

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 99 is 3 x 3 x 11

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(502, 378) = 94878

GCD(502, 378) = ( 502 x 378 ) / 94878

GCD(502, 378) = 189756 / 94878

GCD(502, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 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 502, 378, 99, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 669, 46, 452
• GCD of 780, 667, 67, 267
• GCD of 215, 772, 51, 736
• GCD of 244, 443, 24, 296
• GCD of 797, 381, 60, 324

1. What is the GCD of 502, 378, 99, 687?

GCD of 502, 378, 99, 687 is 1

2. Where do I get the detailed procedure to find GCD of 502, 378, 99, 687?

You can find a detailed procedure to find GCD of 502, 378, 99, 687 on our page.

3. How to find GCD of 502, 378, 99, 687 on a calculator?

You can find the GCD of 502, 378, 99, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.