GCD of 636, 682, 200 Calculator

Given Input numbers are 636, 682, 200

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

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 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 636, 682, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 682, 200 is 2.

Therefore, GCD of numbers 636, 682, 200 is 2

Given Input Data is 636, 682, 200

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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(636, 682) = 216876

GCD(636, 682) = ( 636 x 682 ) / 216876

GCD(636, 682) = 433752 / 216876

GCD(636, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 200

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

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

GCD(2, 200) = 400 / 200

GCD(2, 200) = 2

GCD of 636, 682, 200 is 2

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1. What is the GCD of 636, 682, 200?

GCD of 636, 682, 200 is 2

2. Where do I get the detailed procedure to find GCD of 636, 682, 200?

You can find a detailed procedure to find GCD of 636, 682, 200 on our page.

3. How to find GCD of 636, 682, 200 on a calculator?

You can find the GCD of 636, 682, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.