GCD of 44, 209, 438, 466 Calculator

Given Input numbers are 44, 209, 438, 466

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 44, 209, 438, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 209, 438, 466 is 1.

Therefore, GCD of numbers 44, 209, 438, 466 is 1

Given Input Data is 44, 209, 438, 466

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 209 is 11 x 19

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 466 is 2 x 233

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(44, 209) = 836

GCD(44, 209) = ( 44 x 209 ) / 836

GCD(44, 209) = 9196 / 836

GCD(44, 209) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 438

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

LCM(11, 438) = 4818

GCD(11, 438) = ( 11 x 438 ) / 4818

GCD(11, 438) = 4818 / 4818

GCD(11, 438) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 44, 209, 438, 466 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 940, 193, 905
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• GCD of 15, 687, 309, 813
• GCD of 75, 225, 464, 383

1. What is the GCD of 44, 209, 438, 466?

GCD of 44, 209, 438, 466 is 1

2. Where do I get the detailed procedure to find GCD of 44, 209, 438, 466?

You can find a detailed procedure to find GCD of 44, 209, 438, 466 on our page.

3. How to find GCD of 44, 209, 438, 466 on a calculator?

You can find the GCD of 44, 209, 438, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.