GCD of 960, 390, 686 Calculator

Given Input numbers are 960, 390, 686

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 960, 390, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 390, 686 is 2.

Therefore, GCD of numbers 960, 390, 686 is 2

Given Input Data is 960, 390, 686

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 390 is 2 x 3 x 5 x 13

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(960, 390) = 12480

GCD(960, 390) = ( 960 x 390 ) / 12480

GCD(960, 390) = 374400 / 12480

GCD(960, 390) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 686

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

LCM(30, 686) = 10290

GCD(30, 686) = ( 30 x 686 ) / 10290

GCD(30, 686) = 20580 / 10290

GCD(30, 686) = 2

GCD of 960, 390, 686 is 2

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1. What is the GCD of 960, 390, 686?

GCD of 960, 390, 686 is 2

2. Where do I get the detailed procedure to find GCD of 960, 390, 686?

You can find a detailed procedure to find GCD of 960, 390, 686 on our page.

3. How to find GCD of 960, 390, 686 on a calculator?

You can find the GCD of 960, 390, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.