GCD of 710, 586, 888, 438 Calculator

Given Input numbers are 710, 586, 888, 438

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

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

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 710, 586, 888, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 586, 888, 438 is 2.

Therefore, GCD of numbers 710, 586, 888, 438 is 2

Given Input Data is 710, 586, 888, 438

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

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 586 is 2 x 293

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

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(710, 586) = 208030

GCD(710, 586) = ( 710 x 586 ) / 208030

GCD(710, 586) = 416060 / 208030

GCD(710, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 888

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

LCM(2, 888) = 888

GCD(2, 888) = ( 2 x 888 ) / 888

GCD(2, 888) = 1776 / 888

GCD(2, 888) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 438

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

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

GCD(2, 438) = 876 / 438

GCD(2, 438) = 2

GCD of 710, 586, 888, 438 is 2

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1. What is the GCD of 710, 586, 888, 438?

GCD of 710, 586, 888, 438 is 2

2. Where do I get the detailed procedure to find GCD of 710, 586, 888, 438?

You can find a detailed procedure to find GCD of 710, 586, 888, 438 on our page.

3. How to find GCD of 710, 586, 888, 438 on a calculator?

You can find the GCD of 710, 586, 888, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.