GCD of 628, 802, 200 Calculator

Given Input numbers are 628, 802, 200

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

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 628, 802, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 802, 200 is 2.

Therefore, GCD of numbers 628, 802, 200 is 2

Given Input Data is 628, 802, 200

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 802 is 2 x 401

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(628, 802) = 251828

GCD(628, 802) = ( 628 x 802 ) / 251828

GCD(628, 802) = 503656 / 251828

GCD(628, 802) = 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 628, 802, 200 is 2

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1. What is the GCD of 628, 802, 200?

GCD of 628, 802, 200 is 2

2. Where do I get the detailed procedure to find GCD of 628, 802, 200?

You can find a detailed procedure to find GCD of 628, 802, 200 on our page.

3. How to find GCD of 628, 802, 200 on a calculator?

You can find the GCD of 628, 802, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.