GCD of 440, 931, 28, 209 Calculator

Given Input numbers are 440, 931, 28, 209

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 209

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

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 440, 931, 28, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 931, 28, 209 is 1.

Therefore, GCD of numbers 440, 931, 28, 209 is 1

Given Input Data is 440, 931, 28, 209

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 209 is 11 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(440, 931) = 409640

GCD(440, 931) = ( 440 x 931 ) / 409640

GCD(440, 931) = 409640 / 409640

GCD(440, 931) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 440, 931, 28, 209 is 1

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1. What is the GCD of 440, 931, 28, 209?

GCD of 440, 931, 28, 209 is 1

2. Where do I get the detailed procedure to find GCD of 440, 931, 28, 209?

You can find a detailed procedure to find GCD of 440, 931, 28, 209 on our page.

3. How to find GCD of 440, 931, 28, 209 on a calculator?

You can find the GCD of 440, 931, 28, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.