GCD of 708, 910, 638, 444 Calculator

Given Input numbers are 708, 910, 638, 444

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 708, 910, 638, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 910, 638, 444 is 2.

Therefore, GCD of numbers 708, 910, 638, 444 is 2

Given Input Data is 708, 910, 638, 444

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 444 is 2 x 2 x 3 x 37

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(708, 910) = 322140

GCD(708, 910) = ( 708 x 910 ) / 322140

GCD(708, 910) = 644280 / 322140

GCD(708, 910) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 638

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

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

GCD(2, 638) = 1276 / 638

GCD(2, 638) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 444

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

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

GCD(2, 444) = 888 / 444

GCD(2, 444) = 2

GCD of 708, 910, 638, 444 is 2

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1. What is the GCD of 708, 910, 638, 444?

GCD of 708, 910, 638, 444 is 2

2. Where do I get the detailed procedure to find GCD of 708, 910, 638, 444?

You can find a detailed procedure to find GCD of 708, 910, 638, 444 on our page.

3. How to find GCD of 708, 910, 638, 444 on a calculator?

You can find the GCD of 708, 910, 638, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.