GCD of 459, 969, 37, 227 Calculator

Given Input numbers are 459, 969, 37, 227

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 227

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

1, 227

Greatest Common Divisior

We found the divisors of 459, 969, 37, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 969, 37, 227 is 1.

Therefore, GCD of numbers 459, 969, 37, 227 is 1

Given Input Data is 459, 969, 37, 227

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 37 is 37

Prime Factorization of 227 is 227

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(459, 969) = 8721

GCD(459, 969) = ( 459 x 969 ) / 8721

GCD(459, 969) = 444771 / 8721

GCD(459, 969) = 51

Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 37

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

LCM(51, 37) = 1887

GCD(51, 37) = ( 51 x 37 ) / 1887

GCD(51, 37) = 1887 / 1887

GCD(51, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

GCD of 459, 969, 37, 227 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 322, 43, 114
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• GCD of 196, 739, 11, 544
• GCD of 450, 783, 87, 507
• GCD of 691, 708, 49, 150

1. What is the GCD of 459, 969, 37, 227?

GCD of 459, 969, 37, 227 is 1

2. Where do I get the detailed procedure to find GCD of 459, 969, 37, 227?

You can find a detailed procedure to find GCD of 459, 969, 37, 227 on our page.

3. How to find GCD of 459, 969, 37, 227 on a calculator?

You can find the GCD of 459, 969, 37, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.