GCD of 284, 177, 900 Calculator

Given Input numbers are 284, 177, 900

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

Divisors of 284

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

1, 2, 4, 71, 142, 284

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

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

Greatest Common Divisior

We found the divisors of 284, 177, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 177, 900 is 1.

Therefore, GCD of numbers 284, 177, 900 is 1

Given Input Data is 284, 177, 900

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 177 is 3 x 59

Prime Factorization of 900 is 2 x 2 x 3 x 3 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(284, 177) = 50268

GCD(284, 177) = ( 284 x 177 ) / 50268

GCD(284, 177) = 50268 / 50268

GCD(284, 177) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 284, 177, 900 is 1

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1. What is the GCD of 284, 177, 900?

GCD of 284, 177, 900 is 1

2. Where do I get the detailed procedure to find GCD of 284, 177, 900?

You can find a detailed procedure to find GCD of 284, 177, 900 on our page.

3. How to find GCD of 284, 177, 900 on a calculator?

You can find the GCD of 284, 177, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.