GCD of 200, 888, 352 Calculator

Given Input numbers are 200, 888, 352

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 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 200, 888, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 888, 352 is 8.

Therefore, GCD of numbers 200, 888, 352 is 8

Given Input Data is 200, 888, 352

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 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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, 888) = 22200

GCD(200, 888) = ( 200 x 888 ) / 22200

GCD(200, 888) = 177600 / 22200

GCD(200, 888) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 352

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

LCM(8, 352) = 352

GCD(8, 352) = ( 8 x 352 ) / 352

GCD(8, 352) = 2816 / 352

GCD(8, 352) = 8

GCD of 200, 888, 352 is 8

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1. What is the GCD of 200, 888, 352?

GCD of 200, 888, 352 is 8

2. Where do I get the detailed procedure to find GCD of 200, 888, 352?

You can find a detailed procedure to find GCD of 200, 888, 352 on our page.

3. How to find GCD of 200, 888, 352 on a calculator?

You can find the GCD of 200, 888, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.