GCD of 188, 920, 128, 794 Calculator

Given Input numbers are 188, 920, 128, 794

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

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 188, 920, 128, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 920, 128, 794 is 2.

Therefore, GCD of numbers 188, 920, 128, 794 is 2

Given Input Data is 188, 920, 128, 794

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

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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

Prime Factorization of 794 is 2 x 397

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(188, 920) = 43240

GCD(188, 920) = ( 188 x 920 ) / 43240

GCD(188, 920) = 172960 / 43240

GCD(188, 920) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 128

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

LCM(4, 128) = 128

GCD(4, 128) = ( 4 x 128 ) / 128

GCD(4, 128) = 512 / 128

GCD(4, 128) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 794

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

LCM(4, 794) = 1588

GCD(4, 794) = ( 4 x 794 ) / 1588

GCD(4, 794) = 3176 / 1588

GCD(4, 794) = 2

GCD of 188, 920, 128, 794 is 2

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1. What is the GCD of 188, 920, 128, 794?

GCD of 188, 920, 128, 794 is 2

2. Where do I get the detailed procedure to find GCD of 188, 920, 128, 794?

You can find a detailed procedure to find GCD of 188, 920, 128, 794 on our page.

3. How to find GCD of 188, 920, 128, 794 on a calculator?

You can find the GCD of 188, 920, 128, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.