GCD of 44, 891, 758, 872 Calculator

Given Input numbers are 44, 891, 758, 872

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 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 44, 891, 758, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 891, 758, 872 is 1.

Therefore, GCD of numbers 44, 891, 758, 872 is 1

Given Input Data is 44, 891, 758, 872

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 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 758 is 2 x 379

Prime Factorization of 872 is 2 x 2 x 2 x 109

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, 891) = 3564

GCD(44, 891) = ( 44 x 891 ) / 3564

GCD(44, 891) = 39204 / 3564

GCD(44, 891) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 758

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

LCM(11, 758) = 8338

GCD(11, 758) = ( 11 x 758 ) / 8338

GCD(11, 758) = 8338 / 8338

GCD(11, 758) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 44, 891, 758, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 724, 431, 943
• GCD of 67, 727, 831, 135
• GCD of 67, 336, 938, 552
• GCD of 45, 120, 530, 479
• GCD of 12, 637, 346, 317

1. What is the GCD of 44, 891, 758, 872?

GCD of 44, 891, 758, 872 is 1

2. Where do I get the detailed procedure to find GCD of 44, 891, 758, 872?

You can find a detailed procedure to find GCD of 44, 891, 758, 872 on our page.

3. How to find GCD of 44, 891, 758, 872 on a calculator?

You can find the GCD of 44, 891, 758, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.