GCD of 44, 814, 424, 634 Calculator

Given Input numbers are 44, 814, 424, 634

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 814

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

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 44, 814, 424, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 814, 424, 634 is 2.

Therefore, GCD of numbers 44, 814, 424, 634 is 2

Given Input Data is 44, 814, 424, 634

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 814 is 2 x 11 x 37

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 634 is 2 x 317

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 814) = 1628

GCD(44, 814) = ( 44 x 814 ) / 1628

GCD(44, 814) = 35816 / 1628

GCD(44, 814) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 424

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

LCM(22, 424) = 4664

GCD(22, 424) = ( 22 x 424 ) / 4664

GCD(22, 424) = 9328 / 4664

GCD(22, 424) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

GCD of 44, 814, 424, 634 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 139, 256, 231
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• GCD of 25, 317, 509, 177
• GCD of 88, 623, 501, 919
• GCD of 58, 903, 508, 632

1. What is the GCD of 44, 814, 424, 634?

GCD of 44, 814, 424, 634 is 2

2. Where do I get the detailed procedure to find GCD of 44, 814, 424, 634?

You can find a detailed procedure to find GCD of 44, 814, 424, 634 on our page.

3. How to find GCD of 44, 814, 424, 634 on a calculator?

You can find the GCD of 44, 814, 424, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.