GCD of 284, 111, 694, 686 Calculator

Given Input numbers are 284, 111, 694, 686

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

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 284, 111, 694, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 111, 694, 686 is 1.

Therefore, GCD of numbers 284, 111, 694, 686 is 1

Given Input Data is 284, 111, 694, 686

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 111 is 3 x 37

Prime Factorization of 694 is 2 x 347

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(284, 111) = 31524

GCD(284, 111) = ( 284 x 111 ) / 31524

GCD(284, 111) = 31524 / 31524

GCD(284, 111) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 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 284, 111, 694, 686 is 1

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1. What is the GCD of 284, 111, 694, 686?

GCD of 284, 111, 694, 686 is 1

2. Where do I get the detailed procedure to find GCD of 284, 111, 694, 686?

You can find a detailed procedure to find GCD of 284, 111, 694, 686 on our page.

3. How to find GCD of 284, 111, 694, 686 on a calculator?

You can find the GCD of 284, 111, 694, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.