GCD of 910, 714, 438 Calculator

Given Input numbers are 910, 714, 438

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

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 910, 714, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 714, 438 is 2.

Therefore, GCD of numbers 910, 714, 438 is 2

Given Input Data is 910, 714, 438

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

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 438 is 2 x 3 x 73

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(910, 714) = 46410

GCD(910, 714) = ( 910 x 714 ) / 46410

GCD(910, 714) = 649740 / 46410

GCD(910, 714) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 438

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

LCM(14, 438) = 3066

GCD(14, 438) = ( 14 x 438 ) / 3066

GCD(14, 438) = 6132 / 3066

GCD(14, 438) = 2

GCD of 910, 714, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 840, 468
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1. What is the GCD of 910, 714, 438?

GCD of 910, 714, 438 is 2

2. Where do I get the detailed procedure to find GCD of 910, 714, 438?

You can find a detailed procedure to find GCD of 910, 714, 438 on our page.

3. How to find GCD of 910, 714, 438 on a calculator?

You can find the GCD of 910, 714, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.