GCD of 865, 250, 200 Calculator

Given Input numbers are 865, 250, 200

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

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

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 865, 250, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 250, 200 is 5.

Therefore, GCD of numbers 865, 250, 200 is 5

Given Input Data is 865, 250, 200

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

Prime Factorization of 865 is 5 x 173

Prime Factorization of 250 is 2 x 5 x 5 x 5

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(865, 250) = 43250

GCD(865, 250) = ( 865 x 250 ) / 43250

GCD(865, 250) = 216250 / 43250

GCD(865, 250) = 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 865, 250, 200 is 5

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1. What is the GCD of 865, 250, 200?

GCD of 865, 250, 200 is 5

2. Where do I get the detailed procedure to find GCD of 865, 250, 200?

You can find a detailed procedure to find GCD of 865, 250, 200 on our page.

3. How to find GCD of 865, 250, 200 on a calculator?

You can find the GCD of 865, 250, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.