GCD of 900, 161, 570 Calculator

Given Input numbers are 900, 161, 570

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 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Greatest Common Divisior

We found the divisors of 900, 161, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 161, 570 is 1.

Therefore, GCD of numbers 900, 161, 570 is 1

Given Input Data is 900, 161, 570

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 161 is 7 x 23

Prime Factorization of 570 is 2 x 3 x 5 x 19

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, 161) = 144900

GCD(900, 161) = ( 900 x 161 ) / 144900

GCD(900, 161) = 144900 / 144900

GCD(900, 161) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 570

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

LCM(1, 570) = 570

GCD(1, 570) = ( 1 x 570 ) / 570

GCD(1, 570) = 570 / 570

GCD(1, 570) = 1

GCD of 900, 161, 570 is 1

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1. What is the GCD of 900, 161, 570?

GCD of 900, 161, 570 is 1

2. Where do I get the detailed procedure to find GCD of 900, 161, 570?

You can find a detailed procedure to find GCD of 900, 161, 570 on our page.

3. How to find GCD of 900, 161, 570 on a calculator?

You can find the GCD of 900, 161, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.