GCD of 686, 270, 41, 239 Calculator

Given Input numbers are 686, 270, 41, 239

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

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 686, 270, 41, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 270, 41, 239 is 1.

Therefore, GCD of numbers 686, 270, 41, 239 is 1

Given Input Data is 686, 270, 41, 239

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

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 41 is 41

Prime Factorization of 239 is 239

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(686, 270) = 92610

GCD(686, 270) = ( 686 x 270 ) / 92610

GCD(686, 270) = 185220 / 92610

GCD(686, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 41

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

LCM(2, 41) = 82

GCD(2, 41) = ( 2 x 41 ) / 82

GCD(2, 41) = 82 / 82

GCD(2, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 239

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

LCM(1, 239) = 239

GCD(1, 239) = ( 1 x 239 ) / 239

GCD(1, 239) = 239 / 239

GCD(1, 239) = 1

GCD of 686, 270, 41, 239 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 726, 22, 259
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• GCD of 999, 532, 68, 919

1. What is the GCD of 686, 270, 41, 239?

GCD of 686, 270, 41, 239 is 1

2. Where do I get the detailed procedure to find GCD of 686, 270, 41, 239?

You can find a detailed procedure to find GCD of 686, 270, 41, 239 on our page.

3. How to find GCD of 686, 270, 41, 239 on a calculator?

You can find the GCD of 686, 270, 41, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.