GCD of 900, 794, 489, 200 Calculator

Given Input numbers are 900, 794, 489, 200

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

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 900, 794, 489, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 794, 489, 200 is 1.

Therefore, GCD of numbers 900, 794, 489, 200 is 1

Given Input Data is 900, 794, 489, 200

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 794 is 2 x 397

Prime Factorization of 489 is 3 x 163

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

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(900, 794) = 357300

GCD(900, 794) = ( 900 x 794 ) / 357300

GCD(900, 794) = 714600 / 357300

GCD(900, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 489

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

LCM(2, 489) = 978

GCD(2, 489) = ( 2 x 489 ) / 978

GCD(2, 489) = 978 / 978

GCD(2, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 900, 794, 489, 200 is 1

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• GCD of 680, 169, 128, 133
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1. What is the GCD of 900, 794, 489, 200?

GCD of 900, 794, 489, 200 is 1

2. Where do I get the detailed procedure to find GCD of 900, 794, 489, 200?

You can find a detailed procedure to find GCD of 900, 794, 489, 200 on our page.

3. How to find GCD of 900, 794, 489, 200 on a calculator?

You can find the GCD of 900, 794, 489, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.