GCD of 687, 107, 40, 682 Calculator

Given Input numbers are 687, 107, 40, 682

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 687, 107, 40, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 107, 40, 682 is 1.

Therefore, GCD of numbers 687, 107, 40, 682 is 1

Given Input Data is 687, 107, 40, 682

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 107 is 107

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 682 is 2 x 11 x 31

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(687, 107) = 73509

GCD(687, 107) = ( 687 x 107 ) / 73509

GCD(687, 107) = 73509 / 73509

GCD(687, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 687, 107, 40, 682 is 1

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1. What is the GCD of 687, 107, 40, 682?

GCD of 687, 107, 40, 682 is 1

2. Where do I get the detailed procedure to find GCD of 687, 107, 40, 682?

You can find a detailed procedure to find GCD of 687, 107, 40, 682 on our page.

3. How to find GCD of 687, 107, 40, 682 on a calculator?

You can find the GCD of 687, 107, 40, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.