GCD of 686, 716, 39, 255 Calculator

Given Input numbers are 686, 716, 39, 255

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 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 686, 716, 39, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 716, 39, 255 is 1.

Therefore, GCD of numbers 686, 716, 39, 255 is 1

Given Input Data is 686, 716, 39, 255

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 716 is 2 x 2 x 179

Prime Factorization of 39 is 3 x 13

Prime Factorization of 255 is 3 x 5 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(686, 716) = 245588

GCD(686, 716) = ( 686 x 716 ) / 245588

GCD(686, 716) = 491176 / 245588

GCD(686, 716) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 686, 716, 39, 255 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 569, 93, 427
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• GCD of 411, 757, 18, 115

1. What is the GCD of 686, 716, 39, 255?

GCD of 686, 716, 39, 255 is 1

2. Where do I get the detailed procedure to find GCD of 686, 716, 39, 255?

You can find a detailed procedure to find GCD of 686, 716, 39, 255 on our page.

3. How to find GCD of 686, 716, 39, 255 on a calculator?

You can find the GCD of 686, 716, 39, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.