GCD of 686, 814, 612, 592 Calculator

Given Input numbers are 686, 814, 612, 592

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Greatest Common Divisior

We found the divisors of 686, 814, 612, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 814, 612, 592 is 2.

Therefore, GCD of numbers 686, 814, 612, 592 is 2

Given Input Data is 686, 814, 612, 592

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 814 is 2 x 11 x 37

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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, 814) = 279202

GCD(686, 814) = ( 686 x 814 ) / 279202

GCD(686, 814) = 558404 / 279202

GCD(686, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 612

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

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

GCD(2, 612) = 1224 / 612

GCD(2, 612) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 592

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

LCM(2, 592) = 592

GCD(2, 592) = ( 2 x 592 ) / 592

GCD(2, 592) = 1184 / 592

GCD(2, 592) = 2

GCD of 686, 814, 612, 592 is 2

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1. What is the GCD of 686, 814, 612, 592?

GCD of 686, 814, 612, 592 is 2

2. Where do I get the detailed procedure to find GCD of 686, 814, 612, 592?

You can find a detailed procedure to find GCD of 686, 814, 612, 592 on our page.

3. How to find GCD of 686, 814, 612, 592 on a calculator?

You can find the GCD of 686, 814, 612, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.