GCD of 128, 798, 540, 209 Calculator

Given Input numbers are 128, 798, 540, 209

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

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 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 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 128, 798, 540, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 798, 540, 209 is 1.

Therefore, GCD of numbers 128, 798, 540, 209 is 1

Given Input Data is 128, 798, 540, 209

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

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

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 209 is 11 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(128, 798) = 51072

GCD(128, 798) = ( 128 x 798 ) / 51072

GCD(128, 798) = 102144 / 51072

GCD(128, 798) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 540

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

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

GCD(2, 540) = 1080 / 540

GCD(2, 540) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 209

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

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

GCD(2, 209) = 418 / 418

GCD(2, 209) = 1

GCD of 128, 798, 540, 209 is 1

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1. What is the GCD of 128, 798, 540, 209?

GCD of 128, 798, 540, 209 is 1

2. Where do I get the detailed procedure to find GCD of 128, 798, 540, 209?

You can find a detailed procedure to find GCD of 128, 798, 540, 209 on our page.

3. How to find GCD of 128, 798, 540, 209 on a calculator?

You can find the GCD of 128, 798, 540, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.