GCD of 838, 908, 200, 862 Calculator

Given Input numbers are 838, 908, 200, 862

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

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 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Greatest Common Divisior

We found the divisors of 838, 908, 200, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 908, 200, 862 is 2.

Therefore, GCD of numbers 838, 908, 200, 862 is 2

Given Input Data is 838, 908, 200, 862

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 908 is 2 x 2 x 227

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

Prime Factorization of 862 is 2 x 431

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(838, 908) = 380452

GCD(838, 908) = ( 838 x 908 ) / 380452

GCD(838, 908) = 760904 / 380452

GCD(838, 908) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 200

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

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

GCD(2, 200) = 400 / 200

GCD(2, 200) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 862

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

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

GCD(2, 862) = 1724 / 862

GCD(2, 862) = 2

GCD of 838, 908, 200, 862 is 2

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1. What is the GCD of 838, 908, 200, 862?

GCD of 838, 908, 200, 862 is 2

2. Where do I get the detailed procedure to find GCD of 838, 908, 200, 862?

You can find a detailed procedure to find GCD of 838, 908, 200, 862 on our page.

3. How to find GCD of 838, 908, 200, 862 on a calculator?

You can find the GCD of 838, 908, 200, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.