GCD of 900, 284, 709 Calculator

Given Input numbers are 900, 284, 709

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 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 900, 284, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 284, 709 is 1.

Therefore, GCD of numbers 900, 284, 709 is 1

Given Input Data is 900, 284, 709

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 284 is 2 x 2 x 71

Prime Factorization of 709 is 709

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, 284) = 63900

GCD(900, 284) = ( 900 x 284 ) / 63900

GCD(900, 284) = 255600 / 63900

GCD(900, 284) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 709

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

LCM(4, 709) = 2836

GCD(4, 709) = ( 4 x 709 ) / 2836

GCD(4, 709) = 2836 / 2836

GCD(4, 709) = 1

GCD of 900, 284, 709 is 1

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1. What is the GCD of 900, 284, 709?

GCD of 900, 284, 709 is 1

2. Where do I get the detailed procedure to find GCD of 900, 284, 709?

You can find a detailed procedure to find GCD of 900, 284, 709 on our page.

3. How to find GCD of 900, 284, 709 on a calculator?

You can find the GCD of 900, 284, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.