GCD of 814, 582, 909, 944 Calculator

Given Input numbers are 814, 582, 909, 944

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 814, 582, 909, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 582, 909, 944 is 1.

Therefore, GCD of numbers 814, 582, 909, 944 is 1

Given Input Data is 814, 582, 909, 944

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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(814, 582) = 236874

GCD(814, 582) = ( 814 x 582 ) / 236874

GCD(814, 582) = 473748 / 236874

GCD(814, 582) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 909

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

LCM(2, 909) = 1818

GCD(2, 909) = ( 2 x 909 ) / 1818

GCD(2, 909) = 1818 / 1818

GCD(2, 909) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 814, 582, 909, 944 is 1

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1. What is the GCD of 814, 582, 909, 944?

GCD of 814, 582, 909, 944 is 1

2. Where do I get the detailed procedure to find GCD of 814, 582, 909, 944?

You can find a detailed procedure to find GCD of 814, 582, 909, 944 on our page.

3. How to find GCD of 814, 582, 909, 944 on a calculator?

You can find the GCD of 814, 582, 909, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.