GCD of 798, 552, 874, 328 Calculator

Given Input numbers are 798, 552, 874, 328

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 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 798, 552, 874, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 552, 874, 328 is 2.

Therefore, GCD of numbers 798, 552, 874, 328 is 2

Given Input Data is 798, 552, 874, 328

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 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 328 is 2 x 2 x 2 x 41

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, 552) = 73416

GCD(798, 552) = ( 798 x 552 ) / 73416

GCD(798, 552) = 440496 / 73416

GCD(798, 552) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 874

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

LCM(6, 874) = 2622

GCD(6, 874) = ( 6 x 874 ) / 2622

GCD(6, 874) = 5244 / 2622

GCD(6, 874) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 328

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

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

GCD(2, 328) = 656 / 328

GCD(2, 328) = 2

GCD of 798, 552, 874, 328 is 2

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1. What is the GCD of 798, 552, 874, 328?

GCD of 798, 552, 874, 328 is 2

2. Where do I get the detailed procedure to find GCD of 798, 552, 874, 328?

You can find a detailed procedure to find GCD of 798, 552, 874, 328 on our page.

3. How to find GCD of 798, 552, 874, 328 on a calculator?

You can find the GCD of 798, 552, 874, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.