GCD of 258, 710, 16, 792 Calculator

Given Input numbers are 258, 710, 16, 792

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

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 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 258, 710, 16, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 710, 16, 792 is 2.

Therefore, GCD of numbers 258, 710, 16, 792 is 2

Given Input Data is 258, 710, 16, 792

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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(258, 710) = 91590

GCD(258, 710) = ( 258 x 710 ) / 91590

GCD(258, 710) = 183180 / 91590

GCD(258, 710) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 792

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

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

GCD(2, 792) = 1584 / 792

GCD(2, 792) = 2

GCD of 258, 710, 16, 792 is 2

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1. What is the GCD of 258, 710, 16, 792?

GCD of 258, 710, 16, 792 is 2

2. Where do I get the detailed procedure to find GCD of 258, 710, 16, 792?

You can find a detailed procedure to find GCD of 258, 710, 16, 792 on our page.

3. How to find GCD of 258, 710, 16, 792 on a calculator?

You can find the GCD of 258, 710, 16, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.