GCD of 83, 247, 234, 686 Calculator

Given Input numbers are 83, 247, 234, 686

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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 83, 247, 234, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 247, 234, 686 is 1.

Therefore, GCD of numbers 83, 247, 234, 686 is 1

Given Input Data is 83, 247, 234, 686

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

Prime Factorization of 83 is 83

Prime Factorization of 247 is 13 x 19

Prime Factorization of 234 is 2 x 3 x 3 x 13

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(83, 247) = 20501

GCD(83, 247) = ( 83 x 247 ) / 20501

GCD(83, 247) = 20501 / 20501

GCD(83, 247) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

Step3:

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

GCD of 83, 247, 234, 686 is 1

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1. What is the GCD of 83, 247, 234, 686?

GCD of 83, 247, 234, 686 is 1

2. Where do I get the detailed procedure to find GCD of 83, 247, 234, 686?

You can find a detailed procedure to find GCD of 83, 247, 234, 686 on our page.

3. How to find GCD of 83, 247, 234, 686 on a calculator?

You can find the GCD of 83, 247, 234, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.