GCD of 231, 246, 498, 686 Calculator

Given Input numbers are 231, 246, 498, 686

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 246

List of positive integer divisors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 231, 246, 498, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 246, 498, 686 is 1.

Therefore, GCD of numbers 231, 246, 498, 686 is 1

Given Input Data is 231, 246, 498, 686

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 246 is 2 x 3 x 41

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(231, 246) = 18942

GCD(231, 246) = ( 231 x 246 ) / 18942

GCD(231, 246) = 56826 / 18942

GCD(231, 246) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 498

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

LCM(3, 498) = 498

GCD(3, 498) = ( 3 x 498 ) / 498

GCD(3, 498) = 1494 / 498

GCD(3, 498) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 686

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

LCM(3, 686) = 2058

GCD(3, 686) = ( 3 x 686 ) / 2058

GCD(3, 686) = 2058 / 2058

GCD(3, 686) = 1

GCD of 231, 246, 498, 686 is 1

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1. What is the GCD of 231, 246, 498, 686?

GCD of 231, 246, 498, 686 is 1

2. Where do I get the detailed procedure to find GCD of 231, 246, 498, 686?

You can find a detailed procedure to find GCD of 231, 246, 498, 686 on our page.

3. How to find GCD of 231, 246, 498, 686 on a calculator?

You can find the GCD of 231, 246, 498, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.