GCD of 682, 900, 17, 687 Calculator

Given Input numbers are 682, 900, 17, 687

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

Divisors of 682

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

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 687

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

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 682, 900, 17, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 900, 17, 687 is 1.

Therefore, GCD of numbers 682, 900, 17, 687 is 1

Given Input Data is 682, 900, 17, 687

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 17 is 17

Prime Factorization of 687 is 3 x 229

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(682, 900) = 306900

GCD(682, 900) = ( 682 x 900 ) / 306900

GCD(682, 900) = 613800 / 306900

GCD(682, 900) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 682, 900, 17, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 369, 10, 255
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• GCD of 689, 230, 83, 492
• GCD of 131, 438, 33, 766

1. What is the GCD of 682, 900, 17, 687?

GCD of 682, 900, 17, 687 is 1

2. Where do I get the detailed procedure to find GCD of 682, 900, 17, 687?

You can find a detailed procedure to find GCD of 682, 900, 17, 687 on our page.

3. How to find GCD of 682, 900, 17, 687 on a calculator?

You can find the GCD of 682, 900, 17, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.