GCD of 686, 356, 395, 510 Calculator

Given Input numbers are 686, 356, 395, 510

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 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Greatest Common Divisior

We found the divisors of 686, 356, 395, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 356, 395, 510 is 1.

Therefore, GCD of numbers 686, 356, 395, 510 is 1

Given Input Data is 686, 356, 395, 510

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 356 is 2 x 2 x 89

Prime Factorization of 395 is 5 x 79

Prime Factorization of 510 is 2 x 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, 356) = 122108

GCD(686, 356) = ( 686 x 356 ) / 122108

GCD(686, 356) = 244216 / 122108

GCD(686, 356) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 395

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

LCM(2, 395) = 790

GCD(2, 395) = ( 2 x 395 ) / 790

GCD(2, 395) = 790 / 790

GCD(2, 395) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 510

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

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

GCD(1, 510) = 510 / 510

GCD(1, 510) = 1

GCD of 686, 356, 395, 510 is 1

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1. What is the GCD of 686, 356, 395, 510?

GCD of 686, 356, 395, 510 is 1

2. Where do I get the detailed procedure to find GCD of 686, 356, 395, 510?

You can find a detailed procedure to find GCD of 686, 356, 395, 510 on our page.

3. How to find GCD of 686, 356, 395, 510 on a calculator?

You can find the GCD of 686, 356, 395, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.