GCD of 200, 464, 834 Calculator

Given Input numbers are 200, 464, 834

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 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 200, 464, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 464, 834 is 2.

Therefore, GCD of numbers 200, 464, 834 is 2

Given Input Data is 200, 464, 834

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 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 834 is 2 x 3 x 139

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, 464) = 11600

GCD(200, 464) = ( 200 x 464 ) / 11600

GCD(200, 464) = 92800 / 11600

GCD(200, 464) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 834

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

LCM(8, 834) = 3336

GCD(8, 834) = ( 8 x 834 ) / 3336

GCD(8, 834) = 6672 / 3336

GCD(8, 834) = 2

GCD of 200, 464, 834 is 2

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1. What is the GCD of 200, 464, 834?

GCD of 200, 464, 834 is 2

2. Where do I get the detailed procedure to find GCD of 200, 464, 834?

You can find a detailed procedure to find GCD of 200, 464, 834 on our page.

3. How to find GCD of 200, 464, 834 on a calculator?

You can find the GCD of 200, 464, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.