GCD of 890, 835, 200, 508 Calculator

Given Input numbers are 890, 835, 200, 508

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

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 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 890, 835, 200, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 835, 200, 508 is 1.

Therefore, GCD of numbers 890, 835, 200, 508 is 1

Given Input Data is 890, 835, 200, 508

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 835 is 5 x 167

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

Prime Factorization of 508 is 2 x 2 x 127

The above numbers do not have any common prime factor. So GCD is 1

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(890, 835) = 148630

GCD(890, 835) = ( 890 x 835 ) / 148630

GCD(890, 835) = 743150 / 148630

GCD(890, 835) = 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

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 508

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

LCM(5, 508) = 2540

GCD(5, 508) = ( 5 x 508 ) / 2540

GCD(5, 508) = 2540 / 2540

GCD(5, 508) = 1

GCD of 890, 835, 200, 508 is 1

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• GCD of 431, 447, 746, 384
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1. What is the GCD of 890, 835, 200, 508?

GCD of 890, 835, 200, 508 is 1

2. Where do I get the detailed procedure to find GCD of 890, 835, 200, 508?

You can find a detailed procedure to find GCD of 890, 835, 200, 508 on our page.

3. How to find GCD of 890, 835, 200, 508 on a calculator?

You can find the GCD of 890, 835, 200, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.