GCD of 227, 180, 664, 830 Calculator

Given Input numbers are 227, 180, 664, 830

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

Divisors of 227

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

1, 227

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 227, 180, 664, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 180, 664, 830 is 1.

Therefore, GCD of numbers 227, 180, 664, 830 is 1

Given Input Data is 227, 180, 664, 830

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

Prime Factorization of 227 is 227

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 830 is 2 x 5 x 83

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(227, 180) = 40860

GCD(227, 180) = ( 227 x 180 ) / 40860

GCD(227, 180) = 40860 / 40860

GCD(227, 180) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 227, 180, 664, 830 is 1

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1. What is the GCD of 227, 180, 664, 830?

GCD of 227, 180, 664, 830 is 1

2. Where do I get the detailed procedure to find GCD of 227, 180, 664, 830?

You can find a detailed procedure to find GCD of 227, 180, 664, 830 on our page.

3. How to find GCD of 227, 180, 664, 830 on a calculator?

You can find the GCD of 227, 180, 664, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.