GCD of 304, 514, 128, 110 Calculator

Given Input numbers are 304, 514, 128, 110

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 304, 514, 128, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 514, 128, 110 is 2.

Therefore, GCD of numbers 304, 514, 128, 110 is 2

Given Input Data is 304, 514, 128, 110

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 514 is 2 x 257

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 110 is 2 x 5 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(304, 514) = 78128

GCD(304, 514) = ( 304 x 514 ) / 78128

GCD(304, 514) = 156256 / 78128

GCD(304, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 128

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

LCM(2, 128) = 128

GCD(2, 128) = ( 2 x 128 ) / 128

GCD(2, 128) = 256 / 128

GCD(2, 128) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 110

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

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

GCD(2, 110) = 220 / 110

GCD(2, 110) = 2

GCD of 304, 514, 128, 110 is 2

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1. What is the GCD of 304, 514, 128, 110?

GCD of 304, 514, 128, 110 is 2

2. Where do I get the detailed procedure to find GCD of 304, 514, 128, 110?

You can find a detailed procedure to find GCD of 304, 514, 128, 110 on our page.

3. How to find GCD of 304, 514, 128, 110 on a calculator?

You can find the GCD of 304, 514, 128, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.