GCD of 128, 798, 76, 560 Calculator

Given Input numbers are 128, 798, 76, 560

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 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 128, 798, 76, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 798, 76, 560 is 2.

Therefore, GCD of numbers 128, 798, 76, 560 is 2

Given Input Data is 128, 798, 76, 560

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 76 is 2 x 2 x 19

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(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 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 560

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

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

GCD(2, 560) = 1120 / 560

GCD(2, 560) = 2

GCD of 128, 798, 76, 560 is 2

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1. What is the GCD of 128, 798, 76, 560?

GCD of 128, 798, 76, 560 is 2

2. Where do I get the detailed procedure to find GCD of 128, 798, 76, 560?

You can find a detailed procedure to find GCD of 128, 798, 76, 560 on our page.

3. How to find GCD of 128, 798, 76, 560 on a calculator?

You can find the GCD of 128, 798, 76, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.