GCD of 686, 427, 618, 688 Calculator

Given Input numbers are 686, 427, 618, 688

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 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 686, 427, 618, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 427, 618, 688 is 1.

Therefore, GCD of numbers 686, 427, 618, 688 is 1

Given Input Data is 686, 427, 618, 688

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 427 is 7 x 61

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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, 427) = 41846

GCD(686, 427) = ( 686 x 427 ) / 41846

GCD(686, 427) = 292922 / 41846

GCD(686, 427) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 618

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

LCM(7, 618) = 4326

GCD(7, 618) = ( 7 x 618 ) / 4326

GCD(7, 618) = 4326 / 4326

GCD(7, 618) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 686, 427, 618, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 413, 949, 758
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• GCD of 451, 322, 780, 545
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• GCD of 816, 655, 266, 311

1. What is the GCD of 686, 427, 618, 688?

GCD of 686, 427, 618, 688 is 1

2. Where do I get the detailed procedure to find GCD of 686, 427, 618, 688?

You can find a detailed procedure to find GCD of 686, 427, 618, 688 on our page.

3. How to find GCD of 686, 427, 618, 688 on a calculator?

You can find the GCD of 686, 427, 618, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.