GCD of 885, 385, 200 Calculator

Given Input numbers are 885, 385, 200

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

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

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 885, 385, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 885, 385, 200 is 5.

Therefore, GCD of numbers 885, 385, 200 is 5

Given Input Data is 885, 385, 200

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

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 385 is 5 x 7 x 11

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

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(885, 385) = 68145

GCD(885, 385) = ( 885 x 385 ) / 68145

GCD(885, 385) = 340725 / 68145

GCD(885, 385) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 200

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

LCM(5, 200) = 200

GCD(5, 200) = ( 5 x 200 ) / 200

GCD(5, 200) = 1000 / 200

GCD(5, 200) = 5

GCD of 885, 385, 200 is 5

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1. What is the GCD of 885, 385, 200?

GCD of 885, 385, 200 is 5

2. Where do I get the detailed procedure to find GCD of 885, 385, 200?

You can find a detailed procedure to find GCD of 885, 385, 200 on our page.

3. How to find GCD of 885, 385, 200 on a calculator?

You can find the GCD of 885, 385, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.