GCD of 231, 788, 686, 221 Calculator

Given Input numbers are 231, 788, 686, 221

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 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 686

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

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 231, 788, 686, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 788, 686, 221 is 1.

Therefore, GCD of numbers 231, 788, 686, 221 is 1

Given Input Data is 231, 788, 686, 221

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 788 is 2 x 2 x 197

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

Prime Factorization of 221 is 13 x 17

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, 788) = 182028

GCD(231, 788) = ( 231 x 788 ) / 182028

GCD(231, 788) = 182028 / 182028

GCD(231, 788) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 231, 788, 686, 221 is 1

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1. What is the GCD of 231, 788, 686, 221?

GCD of 231, 788, 686, 221 is 1

2. Where do I get the detailed procedure to find GCD of 231, 788, 686, 221?

You can find a detailed procedure to find GCD of 231, 788, 686, 221 on our page.

3. How to find GCD of 231, 788, 686, 221 on a calculator?

You can find the GCD of 231, 788, 686, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.