GCD of 798, 558, 338, 758 Calculator

Given Input numbers are 798, 558, 338, 758

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 798, 558, 338, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 558, 338, 758 is 2.

Therefore, GCD of numbers 798, 558, 338, 758 is 2

Given Input Data is 798, 558, 338, 758

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 758 is 2 x 379

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(798, 558) = 74214

GCD(798, 558) = ( 798 x 558 ) / 74214

GCD(798, 558) = 445284 / 74214

GCD(798, 558) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 338

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

LCM(6, 338) = 1014

GCD(6, 338) = ( 6 x 338 ) / 1014

GCD(6, 338) = 2028 / 1014

GCD(6, 338) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 758

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

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

GCD(2, 758) = 1516 / 758

GCD(2, 758) = 2

GCD of 798, 558, 338, 758 is 2

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1. What is the GCD of 798, 558, 338, 758?

GCD of 798, 558, 338, 758 is 2

2. Where do I get the detailed procedure to find GCD of 798, 558, 338, 758?

You can find a detailed procedure to find GCD of 798, 558, 338, 758 on our page.

3. How to find GCD of 798, 558, 338, 758 on a calculator?

You can find the GCD of 798, 558, 338, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.