GCD of 44, 734, 235, 484 Calculator

Given Input numbers are 44, 734, 235, 484

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 44, 734, 235, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 734, 235, 484 is 1.

Therefore, GCD of numbers 44, 734, 235, 484 is 1

Given Input Data is 44, 734, 235, 484

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 734 is 2 x 367

Prime Factorization of 235 is 5 x 47

Prime Factorization of 484 is 2 x 2 x 11 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(44, 734) = 16148

GCD(44, 734) = ( 44 x 734 ) / 16148

GCD(44, 734) = 32296 / 16148

GCD(44, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 235

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

LCM(2, 235) = 470

GCD(2, 235) = ( 2 x 235 ) / 470

GCD(2, 235) = 470 / 470

GCD(2, 235) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1

GCD of 44, 734, 235, 484 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 154, 202, 373
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• GCD of 29, 978, 585, 176
• GCD of 67, 125, 448, 965

1. What is the GCD of 44, 734, 235, 484?

GCD of 44, 734, 235, 484 is 1

2. Where do I get the detailed procedure to find GCD of 44, 734, 235, 484?

You can find a detailed procedure to find GCD of 44, 734, 235, 484 on our page.

3. How to find GCD of 44, 734, 235, 484 on a calculator?

You can find the GCD of 44, 734, 235, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.