GCD of 686, 312, 704, 386 Calculator

Given Input numbers are 686, 312, 704, 386

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Greatest Common Divisior

We found the divisors of 686, 312, 704, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 312, 704, 386 is 2.

Therefore, GCD of numbers 686, 312, 704, 386 is 2

Given Input Data is 686, 312, 704, 386

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 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 386 is 2 x 193

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(686, 312) = 107016

GCD(686, 312) = ( 686 x 312 ) / 107016

GCD(686, 312) = 214032 / 107016

GCD(686, 312) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 704

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

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

GCD(2, 704) = 1408 / 704

GCD(2, 704) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 386

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

LCM(2, 386) = 386

GCD(2, 386) = ( 2 x 386 ) / 386

GCD(2, 386) = 772 / 386

GCD(2, 386) = 2

GCD of 686, 312, 704, 386 is 2

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1. What is the GCD of 686, 312, 704, 386?

GCD of 686, 312, 704, 386 is 2

2. Where do I get the detailed procedure to find GCD of 686, 312, 704, 386?

You can find a detailed procedure to find GCD of 686, 312, 704, 386 on our page.

3. How to find GCD of 686, 312, 704, 386 on a calculator?

You can find the GCD of 686, 312, 704, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.