GCD of 849, 829, 44, 544 Calculator

Given Input numbers are 849, 829, 44, 544

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 44

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

1, 2, 4, 11, 22, 44

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Greatest Common Divisior

We found the divisors of 849, 829, 44, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 829, 44, 544 is 1.

Therefore, GCD of numbers 849, 829, 44, 544 is 1

Given Input Data is 849, 829, 44, 544

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 829 is 829

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

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(849, 829) = 703821

GCD(849, 829) = ( 849 x 829 ) / 703821

GCD(849, 829) = 703821 / 703821

GCD(849, 829) = 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 544

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

LCM(1, 544) = 544

GCD(1, 544) = ( 1 x 544 ) / 544

GCD(1, 544) = 544 / 544

GCD(1, 544) = 1

GCD of 849, 829, 44, 544 is 1

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1. What is the GCD of 849, 829, 44, 544?

GCD of 849, 829, 44, 544 is 1

2. Where do I get the detailed procedure to find GCD of 849, 829, 44, 544?

You can find a detailed procedure to find GCD of 849, 829, 44, 544 on our page.

3. How to find GCD of 849, 829, 44, 544 on a calculator?

You can find the GCD of 849, 829, 44, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.