GCD of 113, 408, 44, 550 Calculator

Given Input numbers are 113, 408, 44, 550

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 44

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

1, 2, 4, 11, 22, 44

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 113, 408, 44, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 408, 44, 550 is 1.

Therefore, GCD of numbers 113, 408, 44, 550 is 1

Given Input Data is 113, 408, 44, 550

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

Prime Factorization of 113 is 113

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 550 is 2 x 5 x 5 x 11

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(113, 408) = 46104

GCD(113, 408) = ( 113 x 408 ) / 46104

GCD(113, 408) = 46104 / 46104

GCD(113, 408) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

GCD of 113, 408, 44, 550 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 306, 73, 232
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• GCD of 723, 620, 81, 885

1. What is the GCD of 113, 408, 44, 550?

GCD of 113, 408, 44, 550 is 1

2. Where do I get the detailed procedure to find GCD of 113, 408, 44, 550?

You can find a detailed procedure to find GCD of 113, 408, 44, 550 on our page.

3. How to find GCD of 113, 408, 44, 550 on a calculator?

You can find the GCD of 113, 408, 44, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.