GCD of 283, 295, 47, 686 Calculator

Given Input numbers are 283, 295, 47, 686

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

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

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 283, 295, 47, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 295, 47, 686 is 1.

Therefore, GCD of numbers 283, 295, 47, 686 is 1

Given Input Data is 283, 295, 47, 686

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

Prime Factorization of 283 is 283

Prime Factorization of 295 is 5 x 59

Prime Factorization of 47 is 47

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(283, 295) = 83485

GCD(283, 295) = ( 283 x 295 ) / 83485

GCD(283, 295) = 83485 / 83485

GCD(283, 295) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 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 283, 295, 47, 686 is 1

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1. What is the GCD of 283, 295, 47, 686?

GCD of 283, 295, 47, 686 is 1

2. Where do I get the detailed procedure to find GCD of 283, 295, 47, 686?

You can find a detailed procedure to find GCD of 283, 295, 47, 686 on our page.

3. How to find GCD of 283, 295, 47, 686 on a calculator?

You can find the GCD of 283, 295, 47, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.