GCD of 200, 774, 102 Calculator

Given Input numbers are 200, 774, 102

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

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 200, 774, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 774, 102 is 2.

Therefore, GCD of numbers 200, 774, 102 is 2

Given Input Data is 200, 774, 102

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

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 102 is 2 x 3 x 17

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(200, 774) = 77400

GCD(200, 774) = ( 200 x 774 ) / 77400

GCD(200, 774) = 154800 / 77400

GCD(200, 774) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 102

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

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

GCD(2, 102) = 204 / 102

GCD(2, 102) = 2

GCD of 200, 774, 102 is 2

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1. What is the GCD of 200, 774, 102?

GCD of 200, 774, 102 is 2

2. Where do I get the detailed procedure to find GCD of 200, 774, 102?

You can find a detailed procedure to find GCD of 200, 774, 102 on our page.

3. How to find GCD of 200, 774, 102 on a calculator?

You can find the GCD of 200, 774, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.