GCD of 172, 227, 11, 900 Calculator

Given Input numbers are 172, 227, 11, 900

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

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 172, 227, 11, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 227, 11, 900 is 1.

Therefore, GCD of numbers 172, 227, 11, 900 is 1

Given Input Data is 172, 227, 11, 900

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 227 is 227

Prime Factorization of 11 is 11

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(172, 227) = 39044

GCD(172, 227) = ( 172 x 227 ) / 39044

GCD(172, 227) = 39044 / 39044

GCD(172, 227) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

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 172, 227, 11, 900 is 1

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• GCD of 724, 151, 59, 394
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1. What is the GCD of 172, 227, 11, 900?

GCD of 172, 227, 11, 900 is 1

2. Where do I get the detailed procedure to find GCD of 172, 227, 11, 900?

You can find a detailed procedure to find GCD of 172, 227, 11, 900 on our page.

3. How to find GCD of 172, 227, 11, 900 on a calculator?

You can find the GCD of 172, 227, 11, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.