GCD of 200, 646, 248 Calculator

Given Input numbers are 200, 646, 248

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 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Greatest Common Divisior

We found the divisors of 200, 646, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 646, 248 is 2.

Therefore, GCD of numbers 200, 646, 248 is 2

Given Input Data is 200, 646, 248

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 646 is 2 x 17 x 19

Prime Factorization of 248 is 2 x 2 x 2 x 31

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, 646) = 64600

GCD(200, 646) = ( 200 x 646 ) / 64600

GCD(200, 646) = 129200 / 64600

GCD(200, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 248

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

LCM(2, 248) = 248

GCD(2, 248) = ( 2 x 248 ) / 248

GCD(2, 248) = 496 / 248

GCD(2, 248) = 2

GCD of 200, 646, 248 is 2

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1. What is the GCD of 200, 646, 248?

GCD of 200, 646, 248 is 2

2. Where do I get the detailed procedure to find GCD of 200, 646, 248?

You can find a detailed procedure to find GCD of 200, 646, 248 on our page.

3. How to find GCD of 200, 646, 248 on a calculator?

You can find the GCD of 200, 646, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.